Publications

How to cite 4C

Whenever you mention 4C in some sort of scientific document/publication/presentation, please cite 4C as follows:

4C: A Comprehensive Multi-Physics Simulation Framework, https://www.4c-multiphysics.org

You could use the following BibTeX entry:

@misc{4C,
  author       = {4C},
  title        = {4C: A {C}omprehensive {M}ulti-{P}hysics {S}imulation {F}ramework},
  howpublished = {\url{https://www.4c-multiphysics.org}},
  year         = {YEAR},
  note         = {Accessed: DATE}
}

Note: You might need to adapt the BibTeX entry depending on the citation style.

Remember: It is good scientific practice to include the date, when you’ve visisted that website, into the citation. It’s up to you (and your advisor) to include the date, depending on the type of publication.

Publications in which 4C (formerly BACI) has been used

Journals
PhD theses

Journals

2024

Firmbach, M., Steinbrecher, I., Popp, A., & Mayr, M. (2024). An approximate block factorization preconditioner for mixed-dimensional beam-solid interaction. Computer Methods in Applied Mechanics and Engineering, 431, 117256. doi:10.1016/j.cma.2024.117256
Frank, M., Holzberger, F., Horvat, M., Kirschke, J., Mayr, M., Muhr, M., Nebulishvili, N., Popp, A., Schwarting, J., & Wohlmuth, B. (2024). Numerical simulation of endovascular treatment options for cerebral aneurysms. GAMM-Mitteilungen, published online ahead of print, e202370007. doi:10.1002/gamm.202370007
Gebauer, A. M., Pfaller, M. R., Szafron, J. M., & Wall, W. A. (2024). Adaptive integration of history variables in constrained mixture models for organ-scale growth and remodeling. International Journal for Numerical Methods in Biomedical Engineering, e3869. doi:10.1002/cnm.3869
Hagmeyer, N., Mayr, M., & Popp, A. (2024). A fully coupled regularized mortar-type finite element approach for embedding one-dimensional fibers into three-dimensional fluid flow. International Journal for Numerical Methods in Engineering, 125(8), e7435. doi:10.1002/nme.7435
Sahin, T., von Danwitz, M., & Popp, A. (2024). Solving forward and inverse problems of contact mechanics using physics-informed neural networks. Advanced Modeling and Simulation in Engineering Sciences, 11, 11. doi:10.1186/s40323-024-00265-3
Schmidt, C. P., Sinzig, S., & Wall, W. A. (2024). An Electro-Chemo-Mechanic Model Resolving Delamination between Components in Complex Microstructures of Solid-State Batteries. Journal of The Electrochemical Society, 171(10), 100502. doi:10.1149/1945-7111/ad76dc
Sinzig, S., Schmidt, C. P., & Wall, W. A. (2024). A Conservative and Efficient Model for Grain Boundaries of Solid Electrolytes in a Continuum Model for Solid-State Batteries. Journal of The Electrochemical Society, 171(4), 040505. doi:10.1149/1945-7111/ad36e4
Wirthl, B., Janko, C., Lyer, S., Schrefler, B. A., Alexiou, C., & Wall, W. A. (2024). An in silico Model of the Capturing of Magnetic Nanoparticles in Tumour Spheroids in the Presence of Flow. Biomedical Microdevices, 26(1). doi:10.1007/s10544-023-00685-9

2023

Faraji, M., Seitz, A., Christoph, M., & Wall, W. A. (2023). A Mortar Finite Element Formulation for Large Deformation Lubricated Contact Problems with Smooth Transition Between Mixed, Elasto-Hydrodynamic and Full Hydrodynamic Lubrication. Tribology Letters, 71(11). doi:10.1007/s11249-022-01682-4
Firmbach, M., Steinbrecher, I., Popp, A., & Mayr, M. (2023). Computational challenges in mixed-dimensional beam/solid coupling. Proceedings in Applied Mathematics and Mechanics, 23(1), e202200227. doi:10.1002/pamm.202200227
Gebauer, A. M., Pfaller, M. R., Braeu, F. A., Cyron, C. J., & Wall, W. A. (2023). A homogenized constrained mixture model of cardiac growth and remodeling: analyzing mechanobiological stability and reversal. Biomechanics and Modeling in Mechanobiology, 1–20. doi:10.1007/s10237-023-01747-w
Mayr, M., & Popp, A. (2023). Scalable computational kernels for mortar finite element methods. Engineering with Computers, 39(5), 3691–3720. doi:10.1007/s00366-022-01779-3
Schmidt, C. P., Sinzig, S., Gravemeier, V., & Wall, W. A. (2023). A three-dimensional finite element formulation coupling electrochemistry and solid mechanics on resolved microstructures of all-solid-state lithium-ion batteries. Computer Methods in Applied Mechanics and Engineering, 417, 116468. doi:10.1016/j.cma.2023.116468
Schneider, C., Schmidt, C. P., Neumann, A., Clausnitzer, M., Sadowski, M., Harm, S., Meier, C., Danner, T., Albe, K., Latz, A., Wall, W. A., & Lotsch, B. V. (2023). Effect of Particle Size and Pressure on the Transport Properties of the Fast Ion Conductor t-Li7SiPS8. Advanced Energy Materials, 2203873. doi:10.1002/aenm.202203873
Sinzig, S., Hollweck, T., Schmidt, C. P., & Wall, W. A. (2023). A Finite Element Formulation to Three-Dimensionally Resolve Space-Charge Layers in Solid Electrolytes. Journal of The Electrochemical Society, 170(4), 040513. doi:10.1149/1945-7111/acc692
Sinzig, S., Schmidt, C. P., & Wall, W. A. (2023). An Efficient Approach to Include Transport Effects in Thin Coating Layers in Electrochemo-Mechanical Models for All-Solid-State Batteries. Journal of The Electrochemical Society, 170(10), 100532. doi:10.1149/1945-7111/ad0264
Wirthl, B., Brandstaeter, S., Nitzler, J., Schrefler, B. A., & Wall, W. A. (2023). Global sensitivity analysis based on Gaussian-process metamodelling for complex biomechanical problems. International Journal for Numerical Methods in Biomedical Engineering, 39(3), e3675. doi:10.1002/cnm.3675
Hervas-Raluy, S., Wirthl, B., Guerrero, P. E., Robalo Rei, G., Nitzler, J., Coronado, E., de Mora Sainz, J. F., Schrefler, B. A., Gomez-Benito, M. J., Garcia-Aznar, J. M., & Wall, W. A. (2023). Tumour growth: An approach to calibrate parameters of a multiphase porous media model based on in vitro observations of Neuroblastoma spheroid growth in a hydrogel microenvironment. Computers in Biology and Medicine, 159, 106895. doi:10.1016/j.compbiomed.2023.106895

2022

Fang, R., Schmidt, C. P., & Wall, W. A. (2022). A coupled finite element approach to spatially resolved lithium plating and stripping in three-dimensional anode microstructures of lithium-ion cells. Journal of Computational Physics, 461, 111179. doi:10.1016/j.jcp.2022.111179
Fuchs, S. L., and Praegla, P. M., Cyron, C. J., Wall, W. A., & Meier, C. (2022). A versatile SPH modeling framework for coupled microfluid-powder dynamics in additive manufacturing: binder jetting, material jetting, directed energy deposition and powder bed fusion. Engineering with Computers, 38, 4853–4877. doi:10.1007/s00366-022-01724-4
Hagmeyer, N., Matthias, M., Steinbrecher, I., & Popp, A. (2022). One-way coupled fluid–beam interaction: capturing the effect of embedded slender bodies on global fluid flow and vice versa. Advanced Modeling and Simulation in Engineering Sciences. doi:10.1186/s40323-022-00222-y
Nitzler, J., Biehler, J., Fehn, N., Koutsourelakis, P.-S., & Wall, W. A. (2022). A generalized probabilistic learning approach for multi-fidelity uncertainty quantification in complex physical simulations. Computer Methods in Applied Mechanics and Engineering, 400, 115600. doi:https://doi.org/10.1016/j.cma.2022.115600
Steinbrecher, I., Popp, A., & Meier, C. (2022). Consistent coupling of positions and rotations for embedding 1D Cosserat beams into 3D solid volumes. Computational Mechanics, 69, 701–732. doi:10.1007/s00466-021-02111-4

2021

Brandstaeter, S., Fuchs, S. L., Biehler, J., Aydin, R. C., Wall, W. A., & Cyron, C. J. (2021). Global Sensitivity Analysis of a Homogenized Constrained Mixture Model of Arterial Growth and Remodeling. Journal of Elasticity. doi:10.1007/s10659-021-09833-9
Fuchs, S. L., Meier, C., Wall, W. A., & Cyron, C. J. (2021). An SPH framework for fluid–solid and contact interaction problems including thermo-mechanical coupling and reversible phase transitions. Advanced Modeling and Simulation in Engineering Sciences, 8(1), 15. doi:10.1186/s40323-021-00200-w
Fuchs, S. L., Meier, C., Wall, W. A., & Cyron, C. J. (2021). A novel smoothed particle hydrodynamics and finite element coupling scheme for fluid–structure interaction: The sliding boundary particle approach. Computer Methods in Applied Mechanics and Engineering, 383, 113922. doi:10.1016/j.cma.2021.113922
Kremheller, J., Brandstaeter, S., Schrefler, B. A., & Wall, W. A. (2021). Validation and parameter optimization of a hybrid embedded/homogenized solid tumor perfusion model. International Journal for Numerical Methods in Biomedical Engineering. doi:10.1002/cnm.3508
Meier, C., Fuchs, S. L., Hart, A. J., & Wall, W. A. (2021). A novel smoothed particle hydrodynamics formulation for thermo-capillary phase change problems with focus on metal additive manufacturing melt pool modeling. Computer Methods in Applied Mechanics and Engineering, 381, 113812. doi:10.1016/j.cma.2021.113812
Meier, C., Fuchs, S. L., Much, N., Nitzler, J., Penny, R. W., Praegla, P. M., Proell, S. D., Sun, Y., Weissbach, R., Schreter, M., Hodge, N. E., Hart, A. J., & Wall, W. A. (2021). Physics-based modeling and predictive simulation of powder bed fusion additive manufacturing across length scales. GAMM-Mitteilungen, e202100014. doi:10.1002/gamm.202100014
Wiesner, T. A., Mayr, M., Popp, A., Gee, M. W., & Wall, W. A. (2021). Algebraic multigrid methods for saddle point systems arising from mortar contact formulations. International Journal for Numerical Methods in Engineering, 122(15), 3749–3779. doi:10.1002/nme.6680

2020

Ager, C., Seitz, A., & Wall, W. A. (2020). A consistent and versatile computational approach for general fluid-structure-contact Interaction problems. International Journal for Numerical Methods In Engineering. doi:https://doi.org/10.1002/nme.6556
Berardocco, L., Kronbichler, M., & Gravemeier, V. (2020). A hybridizable discontinuous Galerkin method for electromagnetics with a view on subsurface applications. Computer Methods in Applied Mechanics and Engineering . doi:10.1016/j.cma.2020.113071
Bonari, J., Marulli, M. R., Hagmeyer, N., Mayr, M., Paggi, M., & Popp, A. (2020). A multi-scale FEM-BEM formulation for contact mechanics between rough surfaces. Computational Mechanics, 65(3), 731–749. doi:10.1007/s00466-019-01791-3
Grill, M. J., Wall, W. A., & Meier, C. (2020). A computational model for molecular interactions between curved slender fibers undergoing large 3D deformations with a focus on electrostatic, van der Waals, and repulsive steric forces. International Journal for Numerical Methods In Engineering, 121(10), 2285–2330. doi:https://doi.org/10.1002/nme.6309
La Spina, A., Kronbichler, M., Giacomini, M., Wall, W. A., & Huerta, A. (2020). A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems. Computer Methods in Applied Mechanics and Engineering, 372, 113392. doi:https://doi.org/10.1016/j.cma.2020.113392
Lutz, T., Marczynski, M., Grill, M., Wall, W. A., & Lieleg, O. (2020). Repulsive backbone-backbone interactions modulate access to specific and unspecific mucin binding sites on surface-bound mucins. Langmuir, 36, 12973–12982. doi:https://doi.org/10.1021/acs.langmuir.0c02256
Mayr, M., Noll, M. H., & Gee, M. W. (2020). A hybrid interface preconditioner for monolithic fluid–structure interaction solvers. Advanced Modeling and Simulation in Engineering Sciences, 7, 1–33. doi:10.1186/s40323-020-00150-9
Proell, S. D., Wall, W. A., & Meier, C. (2020). On phase change and latent heat models in metal additive manufacturing process simulation. Advanced Modeling and Simulation in Engineering Sciences, 7(1). doi:10.1186/s40323-020-00158-1
Steinbrecher, I., Mayr, M., Grill, M. J., Kremheller, J., Meier, C., & Popp, A. (2020). A mortar-type finite element approach for embedding 1D beams into 3D solid volumes. Computational Mechanics, 66(6), 1377–1398. doi:10.1007/s00466-020-01907-0
Wirthl, B., Kremheller, J., Schrefler, B. A., & Wall, W. A. (2020). Extension of a multiphase tumour growth model to study nanoparticle delivery to solid tumours. PloS One, 15(2), e0228443. doi:10.1371/journal.pone.0228443

2019

Ager, C., Schott, B., Winter, M., & Wall, W. A. (2019). A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity. Computer Methods in Applied Mechanics and Engineering, 351, 253–280. doi:https://doi.org/10.1016/j.cma.2019.03.015
Ager, C., Schott, B., Vuong, A. T., Popp, A., & Wall, W. A. (2019). A consistent approach for fluid‐structure‐contact interaction based on a porous flow model for rough surface contact. International Journal for Numerical Methods In Engineering, 119(13), 1345–1378. doi:10.1002/nme.6094
Aydin, R. C., Braeu, F. A., & Cyron, C. J. (2019). General Multi-Fidelity Framework for Training Artificial Neural Networks With Computational Models. Frontiers in Materials, 6. doi:10.3389/fmats.2019.00061
Biehler, J., Mäck, M., Nitzler, J., Hanss, M., Koutsourelakis, P. S., & Wall, W. A. (2019). Multifidelity approaches for uncertainty quantification. GAMM-Mitteilungen, e201900008. doi:10.1002/gamm.201900008
Birzle, A. M., Hobrack, S. M. K., Martin, C., Uhlig, S., & Wall, W. A. (2019). Constituent-specific material behavior of soft biological tissue: experimental quantification and numerical identification for lung parenchyma. Biomechanics and Modeling in Mechanobiology. doi:10.1007/s10237-019-01151-3
Birzle, A. M., Martin, C., Uhlig, S., & Wall, W. A. (2019). A coupled approach for identification of nonlinear and compressible material models for soft tissue based on different experimental setups – Exemplified and detailed for lung parenchyma. Journal of the Mechanical Behavior of Biomedical Materials, 94, 126–143. doi:10.1016/j.jmbbm.2019.02.019
Birzle, A. M., & Wall, W. A. (2019). A viscoelastic nonlinear compressible material model of lung parenchyma – Experiments and numerical identification. Journal of the Mechanical Behavior of Biomedical Materials, 94, 164–175. doi:10.1016/j.jmbbm.2019.02.024
Braeu, F. A., Aydin, R. C., & Cyron, C. J. (2019). Anisotropic stiffness and tensional homeostasis induce a natural anisotropy of volumetric growth and remodeling in soft biological tissues. Biomechanics and Modeling in Mechanobiology, 18(2), 327–345. doi:10.1007/s10237-018-1084-x
Brandstaeter, S., Fuchs, S. L., Aydin, R. C., & Cyron, C. J. (2019). Mechanics of the stomach: A review of an emerging field of biomechanics. GAMM-Mitteilungen, 42(3). doi:10.1002/gamm.201900001
Fang, R., Kronbichler, M., Wurzer, M., & Wall, W. A. (2019). Parallel, physics-oriented, monolithic solvers for three-dimensional, coupled finite element models of lithium-ion cells. Computer Methods in Applied Mechanics and Engineering, 350, 803–835. doi:10.1016/j.cma.2019.03.017
Grill, M. J., Meier, C., & Wall, W. A. (2019). Investigation of the peeling and pull-off behavior of adhesive elastic fibers via a novel computational beam interaction model. The Journal of Adhesion, 1–30. doi:10.1080/00218464.2019.1699795
Hoermann, J. M., Pfaller, M. R., Avena, L., Bertoglio, C., & Wall, W. A. (2019). Automatic mapping of atrial fiber orientations for patient‐specific modeling of cardiac electromechanics using image registration. International Journal for Numerical Methods in Biomedical Engineering, e3190. doi:10.1002/cnm.3190
Kremheller, J., Vuong, A. T., Schrefler, B. A., & Wall, W. A. (2019). An approach for vascular tumor growth based on a hybrid embedded/homogenized treatment of the vasculature within a multiphase porous medium model. International Journal for Numerical Methods in Biomedical Engineering, 35(11). doi:10.1002/cnm.3253
La Spina, A., Förster, C., Kronbichler, M., & Wall, W. A. (2019). On the role of (weak) compressibility for fluid‐structure interaction solvers. International Journal for Numerical Methods in Fluids, 92(2), 129–147. doi:10.1002/fld.4776
Massing, A., Schott, B., & Wall, W. A. (2019). A stabilized Nitsche cut finite element method for the Oseen problem. Computer Methods for Applied Mechanics and Engineering. doi:10.1016/j.cma.2017.09.003
Meier, C., Popp, A., & Wall, W. A. (2019). Geometrically exact finite element formulations for slender beams: Kirchhoff–Love theory versus Simo–Reissner theory. Archives of Computational Methods in Engineering, 26(1), 163–243. doi:https://doi.org/10.1007/s11831-017-9232-5
Meier, C., Weissbach, R., Weinberg, J., Wall, W. A., & John Hart, A. (2019). Modeling and characterization of cohesion in fine metal powders with a focus on additive manufacturing process simulations. Powder Technology, 343, 855–866. doi:10.1016/j.powtec.2018.11.072
Pauw, J. D., Veggi, L., Haidn, O. J., Wagner, C., Thümmel, T., Rixen, D. J., Ager, C., Wirtz, A., Popp, A., Wall, W. A., & Wagner, B. (2019). An academic approach to the multidisciplinary development of liquid-oxygen turbopumps for space applications. CEAS Space Journal, 11(2), 193–203. doi:10.1007/s12567-018-0228-2
Pfaller, M. R., Hörmann, J. M., Weigl, M., Nagler, A., Chabiniok, R., Bertoglio, C., & Wall, W. A. (2019). The importance of the pericardium for cardiac biomechanics: from physiology to computational modeling. Biomechanics and Modeling in Mechanobiology, 18(2), 503–529. doi:10.1007/s10237-018-1098-4
Pivovarov, D., Willner, K., Steinmann, P., Brumme, S., Müller, M., Srisupattarawanit, T., Ostermeyer, G. P., Henning, C., Ricken, T., Kastian, S., Reese, S., Moser, D., Grasedyck, L., Biehler, J., Pfaller, M., Wall, W., Kohlsche, T., Estorff, O. von, Gruhlke, R., … Leyendecker, S. (2019). Challenges of order reduction techniques for problems involving polymorphic uncertainty. GAMM-Mitteilungen, e201900010. doi:10.1002/gamm.201900011
Roth, C. J., Yoshihara, L., & Wall, W. A. (2019). Computational Modeling of Respiratory Biomechanics. In Encyclopedia of Biomedical Engineering. Elsevier. doi:10.1016/b978-0-12-801238-3.99941-0
Schott, B., Ager, C., & Wall, W. A. (2019). A monolithic approach to fluid-structure interaction based on a hybrid Eulerian-ALE fluid domain decomposition involving cut elements. International Journal for Numerical Methods In Engineering. doi:10.1002/nme.6047
Schott, B., Ager, C., & Wall, W. A. (2019). Monolithic cut finite element–based approaches for fluid‐structure interaction. International Journal for Numerical Methods In Engineering. doi:10.1002/nme.6072
Seitz, A., Wall, W. A., & Popp, A. (2019). Nitsche’s method for finite deformation thermomechanical contact problems. Computational Mechanics, 63(6), 1091–1110.
Slepukhin, V. M., Grill, M. J., Müller, K. W., Wall, W. A., & Levine, A. J. (2019). Conformation of a semiflexible filament in a quenched random potential. Physical Review E, 99(4). doi:10.1103/physreve.99.042501
Wunderlich, L., Seitz, A., Alaydin, M. D., Wohlmuth, B., & Popp, A. (2019). Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity. Computer Methods in Applied Mechanics and Engineering, 346, 197–215. doi:https://doi.org/10.1016/j.cma.2018.11.024

2018

Biehler, J., & Wall, W. A. (2018). The Impact of Personalized Probabilistic Wall Thickness Models on Peak Wall Stress in Abdominal Aortic Aneurysms. International Journal for Numerical Methods in Biomedical Engineering, 34(2). doi:10.1002/cnm.2922
Birzle, A. M., Martin, C., Yoshihara, L., Uhlig, S., & Wall, W. A. (2018). Experimental characterization and model identification of the nonlinear compressible material behavior of lung parenchyma. Journal of the Mechanical Behavior of Biomedical Materials, 77, 754–763. doi:10.1016/j.jmbbm.2017.08.001
Brandstaeter, S., Gizzi, A., Fuchs, S. L., Gebauer, A. M., Aydin, R. C., & Cyron, C. J. (2018). Computational model of gastric motility with active‐strain electromechanics. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik, 98(12), 2177–2197. doi:10.1002/zamm.201800166
Dürre, K., Keber, F. C., Bleicher, P., Brauns, F., Cyron, C. J., Faix, J., & Bausch, A. R. (2018). Capping protein-controlled actin polymerization shapes lipid membranes. Nature Communications, 9(1). doi:10.1038/s41467-018-03918-1
Fang, R., Farah, P., Popp, A., & Wall, W. A. (2018). A monolithic, mortar-based interface coupling and solution scheme for finite element simulations of lithium-ion cells. International Journal for Numerical Methods In Engineering, 114(13), 1411–1437. doi:10.1002/nme.5792
Farah, P., Wall, W. A., & Popp, A. (2018). A mortar finite element approach for point, line, and surface contact. International Journal for Numerical Methods In Engineering, 114(3), 255–291. doi:https://doi.org/10.1002/nme.5743
Hiermeier, M., Wall, W. A., & Popp, A. (2018). A truly variationally consistent and symmetric mortar-based contact formulation for finite deformation solid mechanics. Computer Methods in Applied Mechanics and Engineering, 342, 532–560. doi:https://doi.org/10.1016/j.cma.2018.07.020
Hoermann, J., Bertoglio, C., Kronbichler, M., Pfaller, M., Chabiniok, R., & Wall, W. A. (2018). An adaptive Hybridizable Discontinuous Galerkin approach for cardiac electrophysiology. International Journal for Numerical Methods in Biomedical Engineering. doi:10.1002/cnm.2959
Krank, B., & Wall, W. A. (2018). A Novel Approach for Wall Modeling in LES of Wall-Bounded High-Reynolds-Number Flow via Function Enrichment. In Direct and Large-Eddy Simulation X. Springer International Publishing. doi:10.1007/978-3-319-63212-4_23
Kremheller, J., Vuong, A.-T., Yoshihara, L., Wall, W. A., & Schrefler, B. A. (2018). A monolithic multiphase porous medium framework for (a-)vascular tumor growth. Computer Methods in Applied Mechanics and Engineering, 340, 657–683. doi:10.1016/j.cma.2018.06.009
Mayr, M., Wall, W. A., & Gee, M. W. (2018). Adaptive time stepping for fluid-structure interaction solvers. Finite Elements in Analysis and Design, 141, 55–69. doi:10.1016/j.finel.2017.12.002
Meier, C., Weissbach, R., Weinberg, J., Wall, W. A., & Hart, A. J. (2018). Critical Influences of Particle Size and Adhesion on the Powder Layer Uniformity in Metal Additive Manufacturing. Journal of Materials Processing Technology. doi:10.1016/j.jmatprotec.2018.10.037
Meier, C., Grill, M. J., Wall, W. A., & Popp, A. (2018). Geometrically exact beam elements and smooth contact schemes for the modeling of fiber-based materials and structures. International Journal of Solids and Structures, 154, 124–146.
Menner, M., Hammerl, G., & Wall, W. A. (2018). Analytical integration of 0th, 2nd, and 4th order polynomial filtering functions on unstructured grid for dispersed phase fraction computation in an Euler–Lagrange approach. International Journal of Multiphase Flow, 98, 147–157. doi:10.1016/j.ijmultiphaseflow.2017.09.005
Poya, R., Gil, A. J., Ortigosa, R., Sevilla, R., Bonet, J., & Wall, W. A. (2018). A curvilinear high order finite element framework for electromechanics: From linearised electro-elasticity to massively deformable dielectric elastomers. Computer Methods in Applied Mechanics and Engineering, 329, 75–117. doi:10.1016/j.cma.2017.09.020
Rasthofer U., G. V., Wall W.A. (2018). An extended algebraic variational multiscale-multigrid-multifractal method (XAVM4) for large-eddy simulation of turbulent two-phase flow. Journal of Computational Physics. doi:10.1016/j.jcp.2018.01.013
Rauch, A. D., Vuong, A.-T., Yoshihara, L., & Wall, W. A. (2018). A coupled approach for fluid saturated poroelastic media and immersed solids for modeling cell-tissue interactions. International Journal for Numerical Methods in Biomedical Engineering, 34(11), e3139. doi:10.1002/cnm.3139
Roth, C. J., Yoshihara, L., & Wall, W. A. (2018). Computational Modeling of Respiratory Biomechanics. In R. Narayan (Ed.), Encyclopedia of Biomedical Engineering (Vol. 2, pp. 70–80). Elsevier .
Roth, C. J., Förster, K. M., Hilgendorff, A., Ertl-Wagner, B., Wall, W. A., & Flemmer, A. W. (2018). Gas exchange mechanisms in preterm infants on HFOV – a computational approach. Scientific Reports, 8(1). doi:10.1038/s41598-018-30830-x
Schoeder, S., Olefir, I., Kronbichler, M., Ntziachristos, V., & Wall, W. A. (2018). Optoacoustic image reconstruction: the full inverse problem with variable bases. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 474(2219), 20180369. doi:10.1098/rspa.2018.0369
Seitz, A., Wall, W. A., & Popp, A. (2018). A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions. Advanced Modeling and Simulation in Engineering Sciences, 5(1), 5. doi:10.1186/s40323-018-0098-3
Sudhakar, Y., & Wall, W. A. (2018). A strongly coupled partitioned approach for fluid-structure-fracture interaction. International Journal for Numerical Methods in Fluids, 87, 90–108. doi:10.1002/fld.4483
Wiesner, T. A., Popp, A., Gee, M. W., & Wall, W. A. (2018). Algebraic multigrid methods for dual mortar finite element formulations in contact mechanics. International Journal for Numerical Methods In Engineering, 114(4), 399–430. doi:https://doi.org/10.1002/nme.5748

2017

Aydin, R. C., Brandstaeter, S., Braeu, F. A., Steigenberger, M., Marcus, R. P., Nikolaou, K., Notohamiprodjo, M., & Cyron, C. J. (2017). Experimental characterization of the biaxial mechanical properties of porcine gastric tissue. Journal of the Mechanical Behavior of Biomedical Materials, 74, 499–506. doi:10.1016/j.jmbbm.2017.07.028
Bertoglio, C., Caiazzo, A., Bazilevs, Y., Braack, M., Esmaily-Moghadam, M., Gravemeier, V., Marsden, A., Pironneau, O., Vignon-Clementel, I. E., & Wall, W. A. (2017). Benchmark problems for numerical treatment of backflow at open boundaries. International Journal for Numerical Methods in Biomedical Engineering, 34(2). doi:https://doi.org/10.1002/cnm.2918
Braeu, F. A., Seitz, A., Aydin, R. C., & Cyron, C. J. (2017). Homogenized constrained mixture models for anisotropic volumetric growth and remodeling. Biomechanics and Modeling in Mechanobiology, 16(3), 889–906. doi:10.1007/s10237-016-0859-1
Cyron, C. J., & Humphrey, J. D. (2017). Growth and remodeling of load-bearing biological soft tissues. Meccanica, 52(3), 645–664. doi:10.1007/s11012-016-0472-5
Cyron, C. J., & Aydin, R. C. (2017). Mechanobiological free energy: a variational approach to tensional homeostasis in tissue equivalents. Zeitschrift Für Angewandte Mathematik Und Mechanik, 97(9), 1011–1019. doi:10.1002/zamm.201600126
Ehrl, A., Landesfeind, J., Wall, W. A., & Gasteiger, H. A. (2017). Determination of Transport Parameters in Liquid Binary Lithium Ion Battery Electrolytes: I. Diffusion Coefficient. Journal of The Electrochemical Society, 164(4). doi:10.1149/2.1131704jes
Ehrl, A., Landesfeind, J., Wall, W. A., & Gasteiger, H. A. (2017). Determination of Transport Parameters in Liquid Binary Electrolytes: Part II. Transference Number. Journal of The Electrochemical Society, 164(12), A2716–A2731. doi:10.1149/2.1681712jes
Farah, P., Wall, W. A., & Popp, A. (2017). An implicit finite wear contact formulation based on dual mortar methods. International Journal for Numerical Methods In Engineering, 111(4), 325–353. doi:https://doi.org/10.1002/nme.5464
Hörmann, J. M., Bertoglio, C., Nagler, A., Pfaller, M. R., Bourier, F., Hadamitzky, M., Deisenhofer, I., & Wall, W. A. (2017). Multiphysics modeling of the atrial systole under standard ablation strategies. Cardiovascular Engineering and Technology, 8(2), 205–218. doi:10.1007/s13239-017-0308-z
Hörmann, J. M., Bertoglio, C., Nagler, A., Pfaller, M. R., Bourier, F., Hadamitzky, M., Deisenhofer, I., & Wall, W. A. (2017). Multiphysics Modeling of the Atrial Systole under Standard Ablation Strategies. Cardiovascular Engineering and Technology, 8(2), 205–218. doi:10.1007/s13239-017-0308-z
Meier, C., Wall, W. A., & Popp, A. (2017). A unified approach for beam-to-beam contact. Computer Methods in Applied Mechanics and Engineering, 315, 972–1010. doi:https://doi.org/10.1016/j.cma.2016.11.028
Nagler, A., Bertoglio, C., Stoeck, C., Kozerke, S., & W.A., W. (2017). Maximum likelihood estimation of cardiac fiber bundle orientation from arbitrarily spaced diffusion weighted images. Medical Image Analysis, 39, 56–77. doi:10.1016/j.media.2017.03.005
Nagler, A., Bertoglio, C., Stoeck, C. T., Kozerke, S., & Wall, W. A. (2017). Maximum likelihood estimation of cardiac fiber bundle orientation from arbitrarily spaced diffusion weighted images. Medical Image Analysis, 39, 56–77. doi:10.1016/j.media.2017.03.005
Rasthofer, U., & Gravemeier, V. (2017). Recent Developments in Variational Multiscale Methods for Large-Eddy Simulation of Turbulent Flow. Archives of Computational Methods in Engineering. doi:10.1007/s11831-017-9209-4
Rossetti, L., Kuntz, L. A., Kunold, E., Schock, J., Müller, K. W., Grabmayr, H., Stolberg-Stolberg, J., Pfeiffer, F., Sieber, S. A., Burgkart, R., & Bausch, A. R. (2017). The microstructure and micromechanics of the tendon–bone insertion. Nature Materials. doi:10.1038/nmat4863
Roth, C., Yoshihara, L., & Wall, W. A. (2017). A simplified parametrised model for lung microstructures capable of mimicking realistic geometrical and mechanical properties. Computers in Biology and Medicine, 89, 104–114. doi:10.1016/j.compbiomed.2017.07.017
Roth, C. J., Ismail, M., Yoshihara, L., & Wall, W. A. (2017). A comprehensive computational human lung model incorporating inter-acinar dependencies: Application to spontaneous breathing and mechanical ventilation. International Journal for Numerical Methods in Biomedical Engineering, 30(1). doi:10.1002/cnm.2787
Roth, C. J., Becher, T., Frerichs, I., Weiler, N., & Wall, W. A. (2017). Coupling of EIT with computational lung modeling for predicting patient-specific ventilatory responses. Journal of Applied Physiology, 122(4), 855–867. doi:10.1152/japplphysiol.00236.2016
Roth, C. J., Haeussner, E., Ruebelmann, T., Koch, F. v., Schmitz, C., Frank, H.-G., & Wall, W. A. (2017). Dynamic modeling of uteroplacental blood flow in IUGR indicates vortices and elevated pressure in the intervillous space – a pilot study. Scientific Reports, 7, 40771. doi:10.1038/srep40771
Roth, C. J., Yoshihara, L., Ismail, M., & Wall, W. A. (2017). Computational modelling of the respiratory system: Discussion of coupled modelling approaches and two recent extensions. Computer Methods in Applied Mechanics and Engineering, 314, 473–493. doi:10.1016/j.cma.2016.08.010
Schoeder, S., Kronbichler, M., & Wall, W. A. (2017). Photoacoustic Image Reconstruction: Material Detection and Acoustical Heterogeneities. Inverse Problems, 33(5). doi:10.1088/1361-6420/aa635b
Sudhakar, Y., Sommariva, A., Vianello, M., & Wall, W. A. (2017). On the use of compressed polyhedral quadrature formulas in embedded interface methods. SIAM Journal on Scientific Computing, 39(3), B571–B587. doi:10.1137/16M1085206
Sudhakar, Y., & Wall, W. A. (2017). Mesh refitting approach: a simple method to model mixed-mode crack propagation in nonlinear elastic solids. Advanced Modeling and Simulation in Engineering Sciences, 4(1). doi:10.1186/s40323-017-0088-x
Verdugo, F., Roth, C. J., Yoshihara, L., & Wall, W. A. (2017). Efficient solvers for coupled models in respiratory mechanics. International Journal for Numerical Methods in Biomedical Engineering, 33(2). doi:10.1002/cnm.2795
Vuong, A.-T., Rauch, A. D., & Wall, W. A. (2017). A Biochemo-Mechano Coupled, Computational Model Combining Membrane Transport, and Pericellular Proteolysis in Tissue Mechanics. Proceedings of The Royal Society A, 473(2199). doi:10.1098/rspa.2016.0812
Yoshihara, L., Roth, C. J., & Wall, W. A. (2017). Fluid-structure interaction including volumetric coupling with homogenized subdomains for modeling respiratory mechanics. International Journal for Numerical Methods in Biomedical Engineering, 33(4). doi:10.1002/cnm.2812

2016

Bertoglio, C., & Caiazzo, A. (2016). A Stokes-residual backflow stabilization method applied to physiological flows. Journal of Computational Physics, 313, 260–278. doi:10.1016/j.jcp.2016.02.045
Biehler, J., Kehl, S., Gee, M. W., Tanios, F., Pelisek, J., Maier, A., Reeps, C., Eckstein, H.-H., & Wall, W. A. (2016). Probabilistic Non-Invasive Prediction of Wall Properties of Abdominal Aortic Aneurysms Using Bayesian Regression. Biomechanics and Modeling in Mechanobiology, 16(1), 45–61. doi:https://doi.org/10.1007/s10237-016-0801-6
Cyron, C. J., Aydin, R. C., & Humphrey, J. D. (2016). A homogenized constrained mixture (and mechanical analog) model for growth and remodeling of soft tissue. Biomechanics and Modeling in Mechanobiology, 15(6), 1389–1403. doi:10.1007/s10237-016-0770-9
Farah, P., Vuong, A.-T., Wall, W. A., & Popp, A. (2016). Volumetric coupling approaches for multiphysics simulations on non-matching meshes. International Journal for Numerical Methods In Engineering, 108(12), 1550–1576. doi:https://doi.org/10.1002/nme.5285
Farah, P., Gitterle, M., Wall, W. A., & Popp, A. (2016). Computational wear and contact modeling for fretting analysis with isogeometric dual mortar methods. Key Engineering Materials, 681, 1–18.
Kachan, D., Müller, K. W., Wall, W. A., & Levine, A. J. (2016). Discontinuous bundling transition in semiflexible polymer networks induced by Casimir interactions. Physical Review E, 94(3). doi:10.1103/physreve.94.032505
Krank, B., & Wall, W. A. (2016). A new approach to wall modeling in LES of incompressible flow via function enrichment. Journal of Computational Physics, 316. doi:10.1016/j.jcp.2016.04.001
Kronbichler, M., Schoeder, S., Müller, C., & Wall, W. A. (2016). Comparison of implicit and explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation. International Journal for Numerical Methods In Engineering. doi:10.1002/nme.5137
Landesfeind, J., Ehrl, A., Graf, M., Wall, W. A., & Gasteiger, H. A. (2016). Direct Electrochemical Determination of Thermodynamic Factors in Aprotic Binary Electrolytes. Journal of The Electrochemical Society, 163(163), A1254–A1264. doi:10.1149/2.0651607jes
Landesfeind, J., Hattendorff, J., Ehrl, A., Wall, W. A., & Gasteiger, H. A. (2016). Tortuosity Determination of Battery Electrodes and Separators by Impedance Spectroscopy. Journal of the Electrochemical Society, 163(7), A1373–A1387. doi:10.1149/2.1141607jes
Marcus, R. P., Koerner, E., Aydin, R. C., Zinsser, D., Finke, T., Cyron, C. J., Bamberg, F., Nikolaou, K., & Notohamiprodjo, M. (2016). The Evolution of Radiation Dose over Time: Measurement of a Patient Cohort undergoing Whole-Body Examinations on three Computer Tomography Generations. European Journal of Radiology, 86, 63–69 . doi:10.1016/j.ejrad.2016.11.002
Meier, C., Popp, A., & Wall, W. A. (2016). A finite element approach for the line-to-line contact interaction of thin beams with arbitrary orientation. Computer Methods in Applied Mechanics and Engineering, 308, 377–413. doi:https://doi.org/10.1016/j.cma.2016.05.012
Müller, K. W., Birzle, A., & Wall, W. A. (2016). Beam finite element model of a molecular motor for the simulation of active fibre networks. Proc. Royal Society A. doi:10.1098/rspa.2015.0555
Pasquariello, V., Hammerl, G., Örley, F., Hickel, S., Danowski, C., Popp, A., Wall, W. A., & Adams, N. A. (2016). A cut-cell finite volume–finite element coupling approach for fluid–structure interaction in compressible flow. Journal of Computational Physics, 307, 670–695. doi:10.1016/j.jcp.2015.12.013
Schott, B., Shahmiri, S., Kruse, R., & Wall, W. A. (2016). A stabilized Nitsche-type extended embedding mesh approach for 3D low- and high-Reynolds-number flows. International Journal for Numerical Methods in Fluids, 82, 289–315. doi:10.1002/fld.4218
Seitz, A., Farah, P., Kremheller, J., Wohlmuth, B. I., Wall, W. A., & Popp, A. (2016). Isogeometric dual mortar methods for computational contact mechanics. Computer Methods in Applied Mechanics and Engineering, 301, 259–280. doi:10.1016/j.cma.2015.12.018
Verdugo, F., & Wall, W. A. (2016). Unified framework for the efficient solution of n-field coupled problems with monolithic schemes. Computer Methods in Applied Mechanics and Engineering, 310, 335–366. doi:10.1016/j.cma.2016.07.016
Vuong, A.-T., Ager, C., & Wall, W. A. (2016). Two finite element approaches for Darcy and Darcy-Brinkman flow through deformable porous media – mixed method vs. NURBS based (isogeometric) continuity. Computer Methods in Applied Mechanics and Engineering, 305, 634–657. doi:10.1016/j.cma.2016.03.005
de Vaal, M., Gee, M. W., Stock, U., & Wall, W. A. (2016). Computational evaluation of aortic occlusion and the proposal of a novel, improved occluder: Constrained endoaortic balloon occlusion (CEABO). International Journal for Numerical Methods in Biomedical Engineering, 32(12). doi:10.1002/cnm.2773

2015

Farah, P., Popp, A., & Wall, W. A. (2015). Segment-based vs. element-based integration for mortar methods in computational contact mechanics. Computational Mechanics, 55(1), 209–228. doi:10.1007/s00466-014-1093-2
Hammerl, G., & Wall, W. A. (2015). A four-way coupled Euler—Lagrange approach using a variational multiscale method for simulating cavitation. Journal of Physics: Conference Series, 656, 012125. doi:10.1088/1742-6596/656/1/012125
Heyden, S., Nagler, A., Bertoglio, C., Biehler, J., Gee, M. W., Wall, W. A., & Ortiz, M. (2015). Material modeling of cardiac valve tissue: Experiments, constitutive analysis and numerical investigation. Journal of Biomechanics , 48(16), 4287–4296. doi:10.1016/j.jbiomech.2015.10.043
Maier, M., Müller, K. W., Heussinger, C., Köhler, S., Wall, W. A., Bausch, A. R., & Lieleg, O. (2015). A single charge in the actin binding domain of fascin can independently tune the linear and non-linear response of an actin bundle network. EPJ E-Soft Matter & Biological Physics, 38(5). doi:10.1140/epje/i2015-15050-3
Mayr, M., Klöppel, T., Wall, W. A., & Gee, M. W. (2015). A Temporal Consistent Monolithic Approach to Fluid-Structure Interaction Enabling Single Field Predictors. SIAM Journal on Scientific Computing, 37(1), B30–B59. doi:10.1137/140953253
Meier, C., Popp, A., & Wall, W. A. (2015). A locking-free finite element formulation and reduced models for geometrically exact Kirchhoff rods. Computer Methods in Applied Mechanics and Engineering, 290, 314–341.
Müller, K. W., Cyron, C. J., & Wall, W. A. (2015). Computational analysis of morphologies and phase transitions of crosslinked, semiflexible polymer networks. Proceedings of the Royal Society A, 471(2182). doi:10.1098/rspa.2015.0332
Müller, K. W., Meier, C., & Wall, W. A. (2015). Resolution of sub-element length scales in Brownian dynamics simulations of biopolymer networks with geometrically exact beam finite elements. Journal of Computational Physics, 303, 185–202. doi:10.1016/j.jcp.2015.09.038
Nissen, K., & Wall, W. A. (2015). Pressure-stabilized maximum-entropy methods for incompressible Stokes. International Journal for Numerical Methods in Fluids, 82(1), 35–36. doi:10.1002/fld.4205
Ortiz-Bernardin, A., Hale, J. S., & Cyron, C. J. (2015). Volume-averaged nodal projection method for nearly-incompressible elasticity using meshfree and bubble basis functions. Computer Methods in Applied Mechanics and Engineering, 285, 427–451. doi:10.1016/j.cma.2014.11.018
Roth, J. C., Ehrl, A., Becher, T., Frerichs, I., Schittny, J., Weller, N., & Wall, W. A. (2015). Correlation between alveolar ventilation and electrical properties of lung parenchyma. Physiological Measurement. doi:10.1088/0967-3334/36/6/1211
Schott, B., Rasthofer, U., Gravemeier, V., & Wall, W. A. (2015). A face-oriented stabilized Nitsche-type extended variational multiscale method for incompressible two-phase flow. International Journal for Numerical Methods In Engineering, 104(7), 721–748. doi:10.1002/nme.4789
Seitz, A., Popp, A., & Wall, W. A. (2015). A semi-smooth Newton method for orthotropic plasticity and frictional contact at finite strains. Computer Methods in Applied Mechanics and Engineering, 285, 228–254. doi:https://doi.org/10.1016/j.cma.2014.11.003
Tanios, F., Gee, M. W., Pelisek, J., Kehl, S., Biehler, J., Grebher-Meier, V., Wall, W. A., Eckstein, H.-H., & Reeps, C. (2015). Interaction of biomechanics with extracellular matrix components in abdominal aortic aneurysm wall. European Journal of Vascular and Endovascular Surgery, 50(2), 167–174. doi:10.1016/j.ejvs.2015.03.021
Vuong, A.-T., Yoshihara, L., & Wall, W. A. (2015). A general approach for modeling interacting flow through porous media under finite deformations. Computer Methods in Applied Mechanics and Engineering, 283, 1240–1259. doi:10.1016/j.cma.2014.08.018

2014

Bel-Brunon, A., Kehl, S., Martin, C., Uhlig, S., & Wall, W. A. (2014). Numerical identification method for the non-linear viscoelastic compressible behaviour of soft tissue using uniaxial tensile tests and image registration - Application to rat lung parenchyma. Journal of the Mechanical Behavior of Biomedical Materials, 29, 360–374. doi:10.1016/j.jmbbm.2013.09.018
Bertoglio, C., Barber, D., Gaddum, N., Valverde, I., Rutten, M., Beerbaum, P., Moireau, P., Hose, R., & Gerbeau, J.-F. (2014). Identification of artery wall stiffness: in vitro validation and in vivo results of a data assimilation procedure applied to a 3D fluid-structure interaction model. Journal of Biomechanics, 47(5), 1027–1034. doi:10.1016/j.jbiomech.2013.12.029
Bertoglio, C., & Caiazzo, A. (2014). A tangential regularization method for backflow stabilization in hemodynamics. Journal of Computational Physics, 261, 162–171. doi:10.1016/j.jcp.2013.12.057
Biehler, J., Gee, M. W., & Wall, W. A. (2014). Towards Efficient Uncertainty Quantification in Complex and Large Scale Biomechanical Problems based on a Bayesian Multi Fidelity Scheme. Biomechanics and Modeling in Mechanobiology, 14, 489–513. doi:10.1007/s10237-014-0618-0
Coroneo, M., Yoshihara, L., & Wall, W. A. (2014). Biofilm growth: a multi-scale and coupled fluid-structure interaction and mass transport approach. Biotechnology and Bioengineering, 111(7), 1385–1395. doi:10.1002/bit.25191
Cyron, C. J., & Humphrey, J. D. (2014). Preferred fiber orientations in healthy arteries and veins understood from netting analysis. Mathematics and Mechanics of Solids, 20, 680–696. doi:10.1177/1081286514551495
Ehrl, A., Popp, A., Gravemeier, V., & Wall, W. A. (2014). A dual mortar approach for mesh tying within a variational multiscale method for incompressible flow. International Journal for Numerical Methods in Fluids, 76(1), 1–27. doi:https://doi.org/10.1002/fld.3920
Hahn, M., Müller, T., & Levenhagen, J. (2014). An optimized end-to-end process for the analysis of agile earth observation satellite missions. CEAS Space Journal, 6(3-4). doi:10.1007/s12567-014-0066-9
Henke, F., Winklmaier, M., Gravemeier, V., & Wall, W. A. (2014). A semi-Lanrangean time-integration approach for extended finite element methods. International Journal for Numerical Methods In Engineering, 98(3), 174–202. doi:10.1002/nme.4628
Huemer, J., Stickel, T., Sagan, E., Schwarz, M., & Wall, W. A. (2014). Influence of Unsteady Aerodynamics on Driving Dynamics of Passenger Cars. Vehicle System Dynamics - International Journal of Vehicle Mechanics and Mobility . doi:10.1080/00423114.2014.944191
Ismail, M., Gravemeier, V., Comerford, A., & Wall, W. A. (2014). A stable approach for coupling multidimensional cardiovascular and pulmonary networks based on a novel pressure-flowrate or pressure-only Neumann boundary condition formulation. International Journal for Numerical Methods in Biomedical Engineering, 30(4), 447–469. doi:10.1002/cnm.2611
Meier, C., Popp, A., & Wall, W. A. (2014). An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods. Computer Methods in Applied Mechanics and Engineering, 278, 445–478. doi:10.1016/j.cma.2014.05.017
Mueller, K. W., Bruinsma, R. F., Lieleg, O., Bausch, A. R., Wall, W. A., & Levine, A. J. (2014). Rheology of semiflexible bundle networks with transient linkers. Physical Review Letters, 112(238102), 238102–238101 - 238102–238105. doi:10.1103/PhysRevLett.112.238102
Popp, A., & Wall, W. A. (2014). Dual mortar methods for computational contact mechanics–overview and recent developments. GAMM-Mitteilungen, 37(1), 66–84. doi:https://doi.org/10.1002/gamm.201410004
Rasthofer, U., Burton, G. C., Wall, W. A., & Gravemeier, V. (2014). Multifractal subgrid-scale modeling within a variational multiscale method for large-eddy simulation of passive-scalar mixing in turbulent flow at low and high Schmidt numbers. Physics of Fluids, 26(5). doi:10.1063/1.4874984
Rasthofer, U., Burton, G. C., Wall, W. A., & Gravemeier, V. (2014). An algebraic variational multiscale-multigrid-multifractal method (AVM^4) for large-eddy simulation of turbulent variable-density flow at low Mach number. International Journal for Numerical Methods in Fluids, 76(7), 416–449. doi:10.1002/fld.3940
Reeps, C., Kehl, S., Tanios, F., Maier, A., Biehler, J., Pelisek, J., Wall, W. A., Eckstein, H.-H., & Gee, M. (2014). Biomechanics and gene expression in abdominal aortic aneurysm . Journal of Vascular Surgery, 60(6), 1640–1647.e2. doi:10.1016/j.jvs.2014.08.076
Romero, I., Urrecha, M., & Cyron, C. J. (2014). A torsion-free nonlinear beam model. Internation Journal of Non-Linear Mechanics, 58. doi:10.1016/j.ijnonlinmec.2013.08.008
Schott, B., & Wall, W. A. (2014). A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering, 276, 233–265. doi:10.1016/j.cma.2014.02.014
Sudhakar, Y., Moitinho de Almeida, J. P., & Wall, W. A. (2014). An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to Embedded Interface Methods. Journal of Computational Physics, 273, 393–415. doi:10.1016/j.jcp.2014.05.019
Yoshihara, L., Coroneo, M., Comerford, A., Bauer, G., Klöppel, T., & Wall, W. A. (2014). A combined fluid-structure interaction and multi-field scalar transport model for simulating mass transport in biomechanics. International Journal for Numerical Methods In Engineering. doi:10.1002/nme.4735

2013

Bauer, G., Gamnitzer, P., Gravemeier, V., & Wall, W. A. (2013). An isogeometric variational multiscale method for large-eddy simulation of coupled multi-ion transport in turbulent flow. Journal of Computational Physics, 251, 194–208. doi:10.1016/j.jcp.2013.05.028
Comerford, A., Gravemeier, V., & Wall, W. A. (2013). An algebraic variational multiscale-multigrid method for large-eddy simulation of turbulent pulsatile flows in complex geometries with detailed insight into pulmonary airway flow. International Journal for Numerical Methods in Fluids, 71(10), 1207–1225. doi:10.1002/fld.3704
Cyron, C. J., Müller, K. W., Schmoller, K. M., Bausch, A. R., Wall, W. A., & Bruinsma, R. F. (2013). Equilibrium phase diagram of semi-flexible polymer networks with linkers. EPL: A Letters Journal Exploring the Frontiers Of Physics, 102, 38003 p1–38003 p6. doi:10.1209/0295-5075/102/38003
Cyron, J. C., Mueller, K. W., Bausch, A. R., & Wall, A. W. (2013). Micromechanical simulations of biopolymer networks with finite elements. Journal of Computational Physics, 244, 236–251. doi:10.1016/j.jcp.2012.10.025
Danowski, C., Gravemeier, V., Yoshihara, L., & Wall, W. A. (2013). A monolithic computational approach to thermo-structure interaction. International Journal for Numerical Methods In Engineering, 95(13), 1053–1078. doi:10.1002/nme.4530
Ehrl, A., Bauer, G., Gravemeier, V., & Wall, W. A. (2013). A computational approach for the simulation of natural convection in electrochemical cells. Journal of Computational Physics (JCOMP), 235, 764–785. doi:10.1016/j.jcp.2012.08.043
Ismail, M., Comerford, A., & Wall, W. A. (2013). Coupled and reduced dimensional modeling of respiratory mechanics during spontaneous breathing. International Journal for Numerical Methods in Biomedical Engineering, 29(11), 1285–1305. doi:10.1002/cnm.2577
Ismail, M., Gee, M. W., & Wall, W. A. (2013). CFD Challenge: Hemodynamic Simulation of a Patient-Specific Aortic Coarctation Model with Adjoint-Based Calibrated Windkessel Elements. In O. Camara, T. Mansi, M. Pop, K. Rhode, M. Sermesant, & A. Young (Eds.), Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges (Number 7746, pp. 44–52). Springer. doi:10.1007/978-3-642-36961-2_6
Ismail, M., Wall, W. A., & Gee, M. W. (2013). Adjoint-based inverse analysis of windkessel parameters for patient-specific vascular models. Journal of Computational Physics, 244, 113–130. doi:10.1016/j.jcp.2012.10.028
Nagler, A., Bertoglio, C., Gee, M., & W.A., W. (2013). Personalization of cardiac fiber orientations from image data using the Unscented Kalman Filter. Functional Imaging and Modeling of the Heart, 7945, 132–140. doi:10.1007/978-3-642-38899-6_16
Popp, A., Seitz, A., Gee, M. W., & Wall, W. A. (2013). Improved robustness and consistency of 3D contact algorithms based on a dual mortar approach. Computer Methods in Applied Mechanics and Engineering, 264, 67–80. doi:10.1016/j.cma.2013.05.008
Rasthofer, U., & Gravemeier, V. (2013). Multifractal subgrid-scale modeling within a variational multiscale method for large-eddy simulation of turbulent flow. Journal of Computational Physics, 234, 79–107. doi:10.1016/j.jcp.2012.09.013
Reeps, C., Maier, A., Pelisek, J., Haertl, F., Wall, W. A., Eckstein, H.-H., & Gee, M.W. (2013). Measuring and Modeling Patient-Specific Distributions of Material Properties in Abdominal Aortic Aneurysm Wall. Biomechanics and Modeling in Mechanobiology, 12(4), 717–733. doi:10.1007/s10237-012-0436-1
Sudhakar, Y., & Wall, W. A. (2013). Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods. Computer Methods in Applied Mechanics and Engineering, 258, 39–54. doi:10.1016/j.cma.2013.01.007
Wiesner, T., Tuminaro, R. S., Wall, W. A., & Gee, M. W. (2013). Multigrid transfers for nonsymmetric systems based on schur complements and Galerkin projections. Numerical Linear Algebra with Applications (NLAA). doi:10.1002/nla.1889
Yoshihara, L., Ismail, M., & Wall, W. A. (2013). Bridging scales in respiratory mechanics. In G. A. Holzapfel & l. E. Kuh (Eds.), Computer Models in Biomechanics: From Nano to Macro (pp. 395–407). Springer. doi:10.1007/978-94-007-5464-5_28

2012

Baiges, J., Codina, R., Henke, F., Shahmiri, S., & Wall, W. A. (2012). A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes. International Journal for Numerical Methods In Engineering, 90(5), 636–658. doi:10.1002/nme.3339
Bauer, G., Gravemeier, V., & Wall, W. A. (2012). A stabilized finite element method for the numerical simulation of multi-ion transport in electrochemical systems. Computer Methods in Applied Mechanics and Engineering, 223-224, 199–210. doi:10.1016/j.cma.2012.02.003
Bompadre, A., Perotti, L. E., Cyron, C. J., & Ortiz, M. (2012). Convergent meshfree approximation schemes of arbitrary order and smoothness. Computer Methods in Applied Mechanics and Engineering, 221-222, 83–108. doi:10.1016/j.cma.2012.01.020
Cyron, C. J., & Wall, W. A. (2012). Numerical method for the simulation of the Brownian dynamics of rod-like microstructures with three dimensional nonlinear beam elements. International Journal for Numerical Methods In Engineering, 90(8). doi:10.1002/nme.3351
Gamnitzer, P., Gravemeier, V., & Wall, W. A. (2012). A mixed/hybrid Dirichlet formulation for wall-bounded flow problems including turbulent flow. Computer Methods in Applied Mechanics and Engineering, 245-246, 22–35. doi:10.1016/j.cma.2012.06.013
Gravemeier, V., Comerford, A., Yoshihara, L., Ismail, M., & Wall, W. A. (2012). A novel formulation for Neumann inflow boundary conditions in biomechanics. International Journal for Numerical Methods in Biomedical Engineering, 28(5). doi:10.1002/cnm.1490
Maier, A., Essler, M., Gee, M. W., Eckstein, H.-H., Wall, W. A., & Reeps, C. (2012). Correlation of biomechanics to tissue reaction in aortic aneurysms assessed by finite elements and [18F]-fluorodeoxyglucose-PET/CT. International Journal for Numerical Methods in Biomedical Engineering, 28(4), 456–471. doi:10.1002/cnm.1477
Marini, G., Maier, A., Reeps, C., Eckstein, H. H., Wall, W. A., & Gee, M. (2012). A continuum description of the damage process in the arterial wall of abdominal aortic aneurysms. International Journal for Numerical Methods in Biomedical Engineering, 28(1), 87–99. doi:10.1002/cnm.1472
Nissen, K., Cyron, C. J., Gravemeier, V., & Wall, W. A. (2012). Information-flux method: a meshfree maximum-entropy Petrov-Galerkin method including stabilised finite element methods. Computer Methods in Applied Mechanics and Engineering. doi:10.1016/j.cma.2012.05.015
Popp, A., Wohlmuth, B. I., Gee, M. W., & Wall, W. A. (2012). Dual quadratic mortar finite element methods for 3D finite deformation contact. SIAM Journal on Scientific Computing, 34(4), B421–B446. doi:10.1137/110848190
Wohlmuth, B. I., Popp, A., Gee, M. W., & Wall, W. A. (2012). An abstract framework for a priori estimates for contact problems in 3D with quadratic finite elements. Computational Mechanics, 49(6), 735–747. doi:10.1007/s00466-012-0704-z
Yoshihara, L., Wall, W. A., & Gee, M. W. (2012). Die virtuelle Lunge. Akademie Aktuell - Zeitschrift Der Bayerischen Akademie Der Wissenschaften, 02, 58–61.
de Vaal, M. H., Stock, U. A., Wall, W. A., & Gee, M. W. (2012). Interplay between cross-clamping and cannular flow during cardiopulmonary bypass assessed by computational fluid-structure interaction. The Thoracic and Cardiovascular Surgeon, 60(S 01), V20. doi:10.1055/s-0031-1297410

2011

Bauer, G., Gravemeier, V., & Wall, W. A. (2011). A 3D finite element approach for the coupled numerical simulation of electrochemical systems and fluid flow. International Journal for Numerical Methods In Engineering, 86(11), 1339–1359. doi:10.1002/nme.3107
Gee, M., Küttler, U., & Wall, W. A. (2011). Truly monolithic algebraic multigrid for fluid-structure interaction. International Journal for Numerical Methods In Engineering, 85(8), 987–1016. doi:10.1002/nme.3001
Gravemeier, V., Kronbichler, M., Gee, M. W., & Wall, W. A. (2011). An algebraic variational multiscale-multigrid method for large-eddy simulation: generalized-alpha time integration, Fourier analysis and application to turbulent flow past a square-section cylinder. Computational Mechanics, 47(2), 217–233. doi:10.1007/s00466-010-0541-x
Gravemeier, V., & Wall, W. A. (2011). Residual-based variational multiscale methods for laminar, transitional and turbulent variable-density flow at low Mach number. International Journal for Numerical Methods in Fluids, 65(10), 1260–1278. doi:10.1002/fld.2242
Gravemeier, V., & Wall, W. A. (2011). Variational multiscale methods for premixed combustion based on a progress-variable approach. Combustion and Flame Journal, 158(6), 1160–1170. doi:10.1016/j.combustflame.2010.10.016
Klöppel, T., Gee, M., & Wall, W. A. (2011). A scaled thickness conditioning for solid- and solid-shell discretizations of thin-walled structures. Computer Methods in Applied Mechanics and Engineering, 200(9-12), 1301–1310. doi:10.1016/j.cma.2010.11.001
Klöppel, T., & Wall, W. A. (2011). A novel two-layer, coupled finite element approach for modeling the nonlinear elastic and viscoelastic behavior of human erythrocytes. Biomechanics and Modeling in Mechanobiology, 10(4), 445–459. doi:10.1007/s10237-010-0246-2
Klöppel, T., Popp, A., Küttler, U., & Wall, W. A. (2011). Fluid–structure interaction for non-conforming interfaces based on a dual mortar formulation. Computer Methods in Applied Mechanics and Engineering, 200(45-46), 3111–3126. doi:10.1016/j.cma.2011.06.006
Metzke, R. W., Runck, H., Stahl, C. A., Schillinger, B., Calzada, E., Mühlbauer, M., Schulz, M., Schneider, M., Priebe, H.-J., A., W. W., & Guttmann, J. (2011). Neutron computed tomography of rat lungs. Physics in Medicine and Biology, 56(1), N1–N10. doi:10.1088/0031-9155/56/1/N01
Norman, R. E., Flanagan, J., Sigal, I., Rausch, S., Tertinegg, I., Eilaghi, A., & Ethier, C. (2011). Finite element modeling of the human sclera: influence on ONH biomechanics and connections with glaucoma. Experimental Eye Research, 93(1), 4–12. doi:doi:10.1016/j.exer.2010.09.014
Rasthofer, U., Henke, F., Wall, W. A., & Gravemeier, V. (2011). An extended residual-based variational multiscale method for two-phase flow including surface tension. Computer Methods in Applied Mechanics and Engineering, 200, 1866–1876. doi:10.1016/j.cma.2011.02.004
Rausch, S., Haberthuer, D., Stampanoni, M., Schittny, J. C., & Wall, W. A. (2011). Local strain distribution in real three-dimensional alveolar geometries. Annals of Biomedical Engineering. doi:10.1007/s10439-011-0328-z
Rausch, S., Martin, C., Bornemann, B., Uhlig, S., & Wall, W. A. (2011). Material model of lung parenchyma based on living precision-cut lung slice testing. Journal of the Mechanical Behavior of Biomedical Materials, 4(4), 583–592. doi:10.1016/j.jmbbm.2011.01.006
Schröder, W., Breede, F., Danowski, C., Grilli, M., Hahn, M., Hosters, N., Klaus, M., Kowollik, D., Genin, C., Schieffer, G., Schlösser, J., Tini, V., Wallmersperger, T., & Willems, S. (2011). SFB Transregio 40: Schubdüse. Proceedings 60. Deutscher Luft- Und Raumfahrtkongress 2011, 175–194.
Shahmiri, S., Gerstenberger, A., & Wall, W. A. (2011). An XFEM based embedding mesh technique for incompressible viscous flows. International Journal for Numerical Methods in Fluids, 65(1-3), 166–190. doi:10.1002/fld.2471
Wiechert, L., Comerford, A., Rausch, S., & Wall, W. A. (2011). Advanced multi-scale modelling of the respiratory system. In M. Klaas, K. Koch, & W. Schröder (Eds.), Fundamental Medical and Engineering Investigations on Protective Artificial Respiration - A Collection of Papers from the DFG Funded Research Program (Vol. 116, pp. 1–32). Springer. doi:https://doi.org/10.1007/978-3-642-20326-8_1

2010

Comerford, A., Bauer, G., & Wall, W. A. (2010). Nanoparticle transport in a realistic model of the tracheobronchial region. International Journal for Numerical Methods in Biomedical Engineering, 26(7), 904–914. doi:10.1002/cnm.1390
Comerford, A., Förster, C., & Wall, W. A. (2010). Structured Tree Impedance Outflow Boundary Conditions for 3D Lung Simulations. Journal of Biomechanical Engineering, 132(8), 081002–081001 bis 081002–081010. doi:10.1115/1.4001679
Comerford, A., Rausch, S., Wiechert, L., Gee, M. W., & Wall, W. A. (2010). Computational Modelling of the Respiratory System for Improvement of Mechanical Ventilation Strategies. High Performance Computing in Science and Engineering, Part 2, 267–277. doi:10.1007/978-3-642-13872-0_23
Cyron, C., Nissen, K., Gravemeier, V., & Wall, W. A. (2010). Information flux maximum-entropy approximation schemes for convection-diffusion problems. International Journal for Numerical Methods in Fluids, 64(10-12), 1180–1200. doi:10.1002/fld.2271
Cyron, C. J., Nissen, K., Gravemeier, V., & Wall, W. A. (2010). Stable meshfree methods in fluid mechanics based on Green’s functions. Computational Mechanics, 46(2), 287–300. doi:10.1007/s00466-009-0405-4
Cyron, C. J., & Wall, W. A. (2010). Consistent finite-element approach to Brownian polymer dynamics with anisotropic friction. Physical Review E, 82(6), 066705–066701 bis 066705–066712. doi:10.1103/PhysRevE.82.066705
Dassow, C., Wiechert, L., Martin, C., Schumann, S., Mueller-Newen, G., Pack, O., Guttmann, J., Wall, W. A., & Uhlig, S. (2010). Biaxial distension of precision-cut lung slices. Journal of Applied Physiology, 108, 713–721. doi:10.1152/japplphysiol.00229.2009
Gamnitzer, P., Gravemeier, V., & Wall, W. A. (2010). Time-dependent subgrid scales in residual-based large eddy simulation of turbulent channel flow. Computer Methods in Applied Mechanics and Engineering, 199(13-16), 819–827. doi:10.1016/j.cma.2009.07.009
Gee, M. W., Foerster, C., & Wall, W. A. (2010). A computational strategy for prestressing patient-specific biomechanical problems under finite deformation. International Journal for Numerical Methods in Biomedical Engineering, 26(1), 52–72. doi:10.1002/cnm.1236
Gerstenberger, A., & Wall, W. A. (2010). An embedded Dirichlet formulation for 3D continua. International Journal for Numerical Methods In Engineering, 82(5), 537–563. doi:10.1002/nme.2755
Gitterle, M., Popp, A., Gee, M. W., & Wall, W. A. (2010). Finite deformation frictional mortar contact using a semi-smooth Newton method with consistent linearization. International Journal for Numerical Methods In Engineering, 84(5), 543–571.
Gravemeier, V., Gee, M. W., Kronbichler, M., & Wall, W. A. (2010). An algebraic variational multiscale-multigrid method for large eddy simulation of turbulent flow. Computer Methods in Applied Mechanics and Engineering, 199(13-16), 853–864. doi:10.1016/j.cma.2009.05.017
Gravemeier, V., & Wall, W. A. (2010). An algebraic variational multiscale-multigrid method for large-eddy simulation of turbulent variable-density flow at low Mach number. Journal of Computational Physics, 229(17), 6047–6070. doi:10.1016/j.jcp.2010.04.036
Imai, Y., Sato, K., Ishikawa, K., Comerford, A., David, T., & Yamaguchi, T. (2010). ATP Transport in saccular cerebral aneurysms at arterial bends. Annals of Biomedical Engineering, 38(3), 927–934. doi:10.1007/s10439-009-9864-1
Küttler, U., Gee, M. W., Förster, C., Comerford, A., & Wall, W. A. (2010). Coupling strategies for biomedical fluid-structure interaction problems. International Journal for Numerical Methods in Biomedical Engineering, 26(3-4), 305–321. doi:10.1002/cnm.1281
Maier, A., Gee, M. W., Reeps, C., Eckstein, H. H., & Wall, W. A. (2010). Impact of calcifications on patient-specific wall stress analyses of abdominal aortic aneurysms. Biomechanics and Modeling in Mechanobiology, 9(5), 511–521. doi:10.1007/s10237-010-0191-0
Maier, A., Gee, M. W., Reeps, C., Pongratz, J., Eckstein, H.-H., & Wall, W. A. (2010). A comparison of diameter, wall stress and rupture potential index for abdominal aortic aneurysm rupture risk prediction. Annals of Biomedical Engineering, 38(10), 3124–3134. doi:10.1007/s10439-010-0067-6
Mayer, U. M., Popp, A., Gerstenberger, A., & Wall, W. A. (2010). 3D fluid–structure-contact interaction based on a combined XFEM FSI and dual mortar contact approach. Computational Mechanics, 46(1), 53–67.
Norman, R. E., Flanagan, J., Rausch, S., Sigal, I., Tertinegg, I., Eilaghi, A., Portnoy, S., Sled, J., & Ethier, C. (2010). Dimensions of the human sclera: thickness measurement and regional changes with axial length. Experimental Eye Research, 90(2), 277–284. doi:doi:10.1016/j.exer.2009.11.001
Popp, A., Gitterle, M., Gee, M. W., & Wall, W. A. (2010). A dual mortar approach for 3D finite deformation contact with consistent linearization. International Journal for Numerical Methods In Engineering, 83(11), 1428–1465.
Reeps, C., Gee, M. W., Maier, A., Gurdan, M., Wall, W. A., & Eckstein, H.-H. (2010). The impact of model assumptions on results of computational mechanics in abdominal aortic aneurysm. Journal of Vascular Surgery, 51, 679–688. doi:10.1016/j.jvs.2009.10.048
Taherzadeh, D., Picioreanu, C., Küttler, U., Simone, A., Wall, W. A., & Horn, H. (2010). Computational study of the drag and oscillatory movement of biofilm streamers in fast flows. Biotechnology and Bioengineering, 105(3), 600–610. doi:10.1002/bit.22551
Wall, W. A., Gerstenberger, A., Küttler, U., & Mayer, U. M. (2010). An XFEM based fixed-grid approach for 3D fluid-structure interaction. In Fluid Structure Interaction II - Modelling, Simulation, Optimization (Vol. 73, pp. 327–349). Springer.
Wall, W. A., Küttler, U., Gerstenberger, A., Gee, M., & Förster, C. (2010). Advances in computational fluid-thin-walled-structure interaction - formulations and solvers. New Trends in Thin Structures - Formulation, Optimization and Coupled Problems, Series: CISM International Centre For Mechanical Sciences, 519, 175–203. doi:10.1007/978-3-7091-0231-2_7
Wall, W. A., Wiechert, L., Comerford, A., & Rausch, S. (2010). Towards a comprehensive computational model for the respiratory system. International Journal for Numerical Methods in Biomedical Engineering, 26(7), 807–827. doi:10.1002/cnm.1378
Wiechert, L., & Wall, W. A. (2010). A nested dynamic multi-scale approach for 3D problems accounting for micro-scale multi-physics. Computer Methods in Applied Mechanics and Engineering, 199(21-22), 1342–1351. doi:10.1016/j.cma.2009.09.017
van der Bos, F., & Geur, B. J. (2010). Computational error-analysis of a discontinuous Galerkin discretization applied to large-eddy simulation of homogeneous turbulence. Computer Methods in Applied Mechanics Engineering, 903–915. doi:10.1016/j.cma.2009.08.026

2009

Armbruster, C., Schneider, M., Schumann, S., Gamerdinger, K., Cuevas, M., Rausch, S., Baaken, G., & Guttmann, J. (2009). Characteristics of highly flexible PDMS membranes for long-term mechanostimulation of biological tissue. Journal of Biomedical Materials Research: Part B - Applied Biomaterials, 91B(2), 700–705. doi:10.1002/jbm.b.31446
Cyron, C. J., Arroyo, M., & Ortiz, M. (2009). Smooth, second order, non-negative meshfree approximants selected by maximum entropy. International Journal for Numerical Methods In Engineering, 79(13), 1605–1632. doi:10.1002/nme.2597
Cyron, C. J., & Wall, W. A. (2009). Finite-element approach to Brownian dynamics of polymers. Physical Review E80, 80(6), 066704–066701 - 066704–066712. doi:10.1103/PhysRevE.80.066704
Förster, C., Wall, W. A., & Ramm, E. (2009). Stabilized finite element formulation for incompressible flow on distorted meshes. International Journal for Numerical Methods in Fluids, 60(10), 1103–1126. doi:10.1002/fld.1923
Gamnitzer, P., Gravemeier, V., & Wall, W. A. (2009). Advances in variational multiscale methods for turbulent flows. In R. de Borst & E. Ramm (Eds.), Multiscale Methods in Computational Mechanics (Vol. 55, pp. 39–52). Springer. doi:10.1007/978-90-481-9809-2_3
Gee, M. W., Dohrmann, C. R., Key, S. W., & Wall, W. A. (2009). A uniform nodal strain tetrahedron with isochoric stabilization. International Journal for Numerical Methods In Engineering, 78(4), 429–443. doi:10.1002/nme.2493
Gee, M. W., Hu, J. J., & Tuminaro, R. S. (2009). A new smoothed aggregation multigrid method for anisotropic problems. Numerical Linear Algebra with Applications, 16(1), 19–37. doi:10.1002/nla.593
Gee, M. W., Kelley, C. T., & Lehoucq, R. B. (2009). Pseudo-transient continuation for nonlinear transient elasticity. International Journal for Numerical Methods In Engineering, 78(10), 1209–1219. doi:10.1002/nme.2527
Gee, M. W., Reeps, C., Eckstein, H. H., & Wall, W. A. (2009). Prestressing in finite deformation abdominal aortic aneurysm simulation. Journal of Biomechanics, 42(11), 1732–1739. doi:10.1016/j.jbiomech.2009.04.016
Gravemeier, V., Gee, M. W., & Wall, W. A. (2009). An algebraic variational multiscale-multigrid method based on plain aggregation for convection-diffusion problems. Computer Methods in Applied Mechanics and Engineering, 198(47-48), 3821–3835. doi:10.1016/j.cma.2009.08.017
Kuettler, U., & Wall, W. A. (2009). Vector extrapolation for strong coupling fluid-structure interaction solvers. Journal of Applied Mechanics, 76(2), 1–7. doi:10.1115/1.3057468
Lieleg, O., Schmoller, K. M., Cyron, C. J., Luan, Y., Wall, W. A., & Bausch, A. R. (2009). Structural polymorphism in heterogeneous cytoskeletal networks. Soft Matter, 5, 1796–1803. doi:10.1039/b814555p
Mayer, U. M., Gerstenberger, A., & Wall, W. A. (2009). Interface handling for three-dimensional higher-order XFEM-computations in fluid-structure interaction. International Journal for Numerical Methods In Engineering, 79, 846–869. doi:10.1002/nme.2600
Popp, A., Gee, M. W., & Wall, W. A. (2009). A finite deformation mortar contact formulation using a primal–dual active set strategy. International Journal for Numerical Methods In Engineering, 79(11), 1354–1391.
Ramm, E., von Scheven, M., Förster, C., & Wall, W. A. (2009). Interaction of incompressible flows and thin-walled structures. ECCOMAS Multidisciplinary Jubilee Symposium- New Computational Challenges in Materials, Structures, And Fluids- Computational Methods in Applied Sciences, 14, 219–234. doi:10.1007/978-1-4020-9231-2_15
Reeps, C., Gee, M. W., Maier, A., Pelisek, J., Gurdan, M., Wall, W. A., Mariss, J., Eckstein, H. H., & Essler, M. (2009). Glucose metabolism in the vessel wall correlates with mechanical instability and inflammatory changes in a patient with a growing aneurysm of the abdominal aorta. Circulation: Cardiovascular Imaging - Journal of The Amercan Heart Association, 2, 507–509. doi:10.1161/CIRCIMAGING.109.858712
Wall, W. A., Gerstenberger, A., & Mayer, U. M. (2009). Advances in fixed-grid fluid structure interaction. ECCOMAS Multidisciplinary Jubilee Symposium- New Computational Challenges in Materials, Structures, And Fluids- Computational Methods in Applied Sciences, 14, 235–249. doi:10.1007/978-1-4020-9231-2_16
Wiechert, L., Metzke, R., & Wall, W. A. (2009). Modeling the mechanical behaviour of lung tissue at the micro-level. In Journal of Engineering Mechanics: Vol. 135 (5) (pp. 434–438). ASCE - American society of civil engineers.
van der Bos, F., & Gravemeier, V. (2009). Numerical simulation of premixed combustion using an enriched finite element method. Journal of Computational Physics, 228, 3605–3624. doi:10.1016/j.jcp.2008.12.039

2008

Gerstenberger, A., & Wall, W. A. (2008). An extended finite element method / lagrange multiplier based approach for fluid-structure interactions. Computer Methods in Applied Mechanics and Engineering, 197(19-20), 1699–1714. doi:10.1016/j.cma.2007.07.002
Gravemeier, V. (2008). Variational multiscale methods for large eddy simulation of turbulent flows. Gacm Report.
Gravemeier, V., Lenz, S., & Wall, W. A. (2008). Towards a taxonomy for multiscale methods in computational mechanics: building blocks of existing methods. Computational Mechanics, 41(2), 279–291. doi:10.1007/s00466-007-0185-7
Gravemeier, V., & Wall, W. A. (2008). A space-time formulation and improved spatial reconstruction for the \enquotedivide-and-conquer multiscale method. Computer Methods in Applied Mechanics Engineering, 197(6-8), 678–692. doi:10.1016/j.cma.2007.08.019
Kuettler, U., & Wall, W. A. (2008). Fixed-point fluid-structure interaction solvers with dynamic relaxation. Computational Mechanics, 43, 61–72. doi:10.1007/s00466-008-0255-5
Rabczuk, T., Zi, G., Gerstenberger, A., & Wall, W. A. (2008). A new crack tip element for the Phantom-Node method with arbitrary cohesive cracks. International Journal for Numerical Methods In Engineering, 75(5), 577–599. doi:10.1002/nme.2273
Schumann, S., Stahl, C. A., Möller, K., Schneider, M., Metzke, R., Wall, W. A., Priebe, H.-J., & Guttmann, J. (2008). Contact-free determination of material characteristics using a newly developed pressure-operated strain-applying bioreactor. Journal of Biomedical Materials Research: Part B, 86B(2), 483–492. doi:10.1002/jbm.b.31045
Wall, W. A., Frenzel, M. A., & Cyron, C. (2008). Isogeometric structural shape optimization. Computer Methods in Applied Mechanics and Engineering, 197(33-40), 2976–2988. doi:10.1016/j.cma.2008.01.025
Wall, W. A., Gamnitzer, P., & Gerstenberger, A. (2008). Fluid-structure interaction approaches on fixed grids based on two different domain decomposition ideas. International Journal of Computational Fluid Dynamics, 22(6), 411–427. doi:10.1080/10618560802208567
Wall, W. A., & Rabczuk, T. (2008). Fluid-structure interaction in lower airways of CT-based lung geometries. International Journal for Numerical Methods in Fluids, 57(5), 653–675. doi:10.1002/fld.1763

2007

Förster, C., Wall, W. A., & Ramm, E. (2007). Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows. Computer Methods in Applied Mechanics and Engineering, 196(7), 1278–1293. doi:10.1016/j.cma.2006.09.002
Gerstenberger, A., & Wall, W. A. (2007). Enhancement of fixed-grid methods towards complex fluid-structure interaction applications. International Journal for Numerical Methods in Fluids, 57(9), 1227–1248. doi:10.1002/fld.1782
Gravemeier, V., Lenz, S., & Wall, W. A. (2007). Variational multiscale methods for incompressible flows. International Journal Computing Science and Mathematics, 1(2/3/4), 444–466. doi:10.1504/IJCSM.2007.016545
Gravemeier, V., & Wall, W. A. (2007). A \enquotedivide-and-conquer spatial and temporal multiscale method for transient convection-diffusion-reaction equations. International Journal for Numerical Methods in Fluids, 54(6-8), 779–804. doi:10.1002/fld.1465
Rabczuk, T., Bordas, S., & Zi, G. (2007). A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics. Computational Mechanics, 40(3), 473–495. doi:10.1007/s00466-006-0122-1
Wall, W. A., Genkinger, S., & Ramm, E. (2007). A strong coupling partitioned approach for fluid-structure interaction with free surfaces. Computers & Fluids, 36(1), 169–183. doi:10.1016/j.compfluid.2005.08.007
Wall, W. A., & Gerstenberger, A. (2007). An accurate and general fixed-grid approach for fluid-structure interaction. In P. Bergan, J. Garcia, E. Onate, & T. Kvamsdal (Eds.), International Conference on Computational Methods in Marine Engineering - Marine 2007. CIMNE Barcelona.
Wiechert, L., Rabczuk, T., Gee, M., Metzke, R., & Wall, W. A. (2007). Coupled problems in computational modeling of the respiratory system. In M. Resch, T. Boenisch, K. Benkert, T. Furui, Y. Seo, & W. Bez (Eds.), High Performance Computing on Vector Systems 2007 (pp. 145–166). Springer. doi:https://doi.org/10.1007/978-3-540-74384-2_12
Zi, G., Rabczuk, T., & Wall, W. A. (2007). Extended meshfree methods without branch enrichment for cohesive cracks. Computational Mechanics, 40(2), 367–382. doi:10.1007/s00466-006-0115-0

2006

Erhart, T., Wall, W. A., & Ramm, E. (2006). Robust adaptive remeshing strategy for large deformation, transient impact simulations. International Journal for Numerical Methods In Engineering, 65(13), 2139–2166. doi:10.1002/nme.1531
Förster, C., Wall, W. A., & Ramm, E. (2006). On the gemoetric conservation law in transient flow calculations on deforming domains. International Journal for Numerical Methods in Fluids, 50(12), 1369–1379. doi:10.1002/fld.1093
Gravemeier, V. (2006). The variational multiscale method for laminar and turbulent flow. Archives of Computational Methods in Engineering, State Of the Art Reviews, 13(2), 249–324. doi:10.1007/BF02980231
Gravemeier, V. (2006). Variational multiscale large eddy simulation of turbulent flow in a diffuser. Computational Mechanics, 39, 477–495. doi:10.1007/s00466-006-0044-y
Gravemeier, V. (2006). Scale-separating operators for variational multiscale large eddy simulation of turbulent flows. Journal of Computational Physics, 212(2), 400–435. doi:10.1016/j.jcp.2005.07.007
Gravemeier, V. (2006). A consistent dynamic localization model for large eddy simulation of turbulent flows based on a variational formulation. Journal of Computational Physics, 218, 677–701. doi:10.1016/j.jcp.2006.03.001
Küttler, U., Förster, C., & Wall, W. A. (2006). A solution for the incompressibility dilemma in partitioned fluid-structure interaction with pure Dirichlet fluid domains. Computational Mechanics, 38(4-5), 417–429. doi:10.1007/s00466-006-0066-5
Rabczuk, T., Xiao, S. P., & Sauer, M. (2006). Coupling of mesh-free methods with finite elements: basic concepts and test results. Communications in Numerical Methods in Engineering, 22(Issue 10), 1031–1065. doi:10.1002/cnm.871

2005

Abraham, F., Behr, M., & Heinkenschloss, M. (2005). Shape optimization in steady blood flow: a numerical study of non-newtonian effects. Computer Methods in Biomechanics and Biomedical Engineering, 8(2), 127–137. doi:10.1080/10255840500180799
Abraham, F., Behr, M., & Heinkenschloss, M. (2005). Shape optimization in unsteady blood flow: a numerical study of non-newtonian effects. Computer Methods in Biomechanics and Biomedical Engineering, 8(3), 201–212. doi:10.1080/10255840500309562
Erhart, T., Wall, W. A., & Ramm, E. (2005). A robust computational approach for dry powders under quasi-static and transient impact loadings. Computer Methods in Applied Mechanics and Engineering, 194(39-41), 4115–4134. doi:10.1016/j.cma.2004.10.007
Erhart, T., Wall, W. A., & Ramm, E. (2005). A robust computational approach for dry powders under quasi-static and transient impact loadings. Computer Methods in Applied Mechanics and Engineering, 194(39-41), 4115–4134. doi:10.1016/j.cma.2004.10.007
Gee, M. W., Ramm, E., & Wall, W. A. (2005). Parallel multilevel solution of nonlinear shell structures. Computer Methods in Applied Mechanics and Engineering, 194(21-24), 2513–2533. doi:10.1016/j.cma.2004.07.043
Gravemeier, V., Wall, W. A., & Ramm, E. (2005). Large eddy simulation of turbulent incompressible flows by a three-level finite element method. International Journal for Numerical Methods in Fluids, 48(10), 1067–1099. doi:10.1002/fld.961
Ramm, E., & Wall, W. A. (2005). Computational methods for shells - preface. Computer Methods in Applied Mechanics and Engineering, 194(Issue 21-24), 2285–2707. doi:10.1016/j.cma.2004.12.006

2004

Abraham, F., Behr, M., & Heinkenschloss, M. (2004). The effect of stabilization in finite element methods for the optimal boundary control of the Oseen equations. Finite Elements in Analysis and Design, 41(3), 229–251. doi:10.1016/j.finel.2004.06.001
Behr, M. (2004). On the application of slip boundary condition on curved boundaries. International Journal for Numerical Methods in Fluids, 45(1), 43–51. doi:10.1002/fld.663
Bischoff, M., Wall, W. A., Bletzinger, K.-U., & Ramm, E. (2004). Models and finite elements for thin-walled structures. In E. Stein, R. de Borst, & T. J. R. Hughes (Eds.), Encyclopedia of Computational Mechanics: Vol. 2 - Solids and Structures (pp. 59–137). Wiley. doi:10.1002/0470091355.ecm026
Gravemeier, V., Wall, W. A., & Ramm, E. (2004). A three-level finite element method for the instationary incompressible Navier-Stokes equations. Computational Methods in Applied Mechanics And Engineering, 193(15-16), 1323–1366. doi:10.1016/j.cma.2003.12.027
Ramm, E., & Wall, W. A. (2004). Shell structures - a sensitive interrelation between physics and numerics. International Journal for Numerical Methods In Engineering, 60, 381–427. doi:10.1002/nme.967

PhD Thesis