- 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 (Open Access) , arXiv
- Frank M., F. Holzberger, M. Horvat, J. Kirschke, M. Mayr, M. Muhr, N. Nebulishvili, A. Popp, J. Schwarting, and B. Wohlmuth (2024): Numerical simulation of endovascular treatment options for cerebral aneurysms. GAMM-Mitteilungen. 47 (2024), e202370007, DOI (Open Access) , arXiv
- Trávníková, V., Wolff, D., Dirkes, N., Elgeti, S., von Lieres, E., & Behr, M. (2024). A model hierarchy for predicting the flow in stirred tanks with physics-informed neural networks. Advances in Computational Science and Engineering, DOI (Open Access) , arXiv
- Sahin, T., von Danwitz, M., Popp A. (2024): Solving forward and inverse problems of contact mechanics using physics-informed neural networks. Adv. Model. and Simul. in Eng. Sci. 11, 11 (2024), DOI (Open Access) , arXiv
- 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, DOI (Open Access) , arXiv
- Key F, von Danwitz M, Ballarin F, Rozza G. Model order reduction for deforming domain problems in a time-continuous space-time setting. Int J Numer Methods Eng. 2023; 124(23): 5125–5150. DOI (Open Access) , arXiv
- Jaelani, Y., Klemm, A., Wimmer, J., Seitz, F., Köhncke, M., Marsili, F., Mendler, A., von Danwitz, M., Henke, S., Gündel, M., Braml, T., Spannaus, M., Popp, A. and Keßler, S. (2023),: Developing a benchmark study for bridge monitoring. Steel Construction, 16:215-225, DOI (Open Access)
- von Danwitz, M., Voulis, I., Hosters, N., Behr, M. (2023): Time-Continuous and Time-Discontinuous Space-Time Finite Elements for Advection-Diffusion Problems. International Journal for Numerical Methods in Engineering, DOI (Open Access)
- Mayr, M. Popp A. (2023): Scalable computational kernels for mortar finite element methods, Engineering with Computers, 39:3691-3720, DOI (Open Access)
- Pinto Carvalho, R., Couto Carneiro, A.M., Andrade Pires, F.M., Popp, A. (2022): An efficient contact algorithm for rigid/deformable interaction based on the dual mortar method, Computational Mechanics, 71:143-167, DOI (Open Access)
- Hagmeyer, N., Mayr, 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 (Open Access)
- Mayr, M., Berger-Vergiat, L., Ohm, P., Tuminaro, R.S. (2022): Non-invasive multigrid for semi-structured grids, SIAM Journal on Scientific Computing, 44(4):A2734-A2763, DOI , arXiv
- 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(3):701-732, DOI (Open Access)
- von Danwitz M, Antony P, Key F, Hosters N, Behr M (2021): Four-dimensional elastically deformed simplex space-time meshes for domains with time-variant topology. International Journal for Numerical Methods in Fluids, 93(12): 3490-3506, DOI (Open Access)
- 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, 122:3749-3779, DOI (Open Access) , arXiv
- Humer, A., Steinbrecher, I., Vu-Quoc, L. (2020): General sliding-beam formulation: A non-material description for analysis of sliding structures and axially moving beams, Journal of Sound and Vibration, DOI (Open Access)
- 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, 66:1377-1398, DOI (Open Access)
- 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, 7:15, DOI (Open Access)
- Bonari, J., Marulli, M.R., Hagmeyer, N., Mayr, M., Popp, A., Paggi, M. (2020): A multi-scale FEM-BEM formulation for contact mechanics between rough surfaces, Computational Mechanics, 65(3):731-749, DOI , arXiv
- 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, 119:1345-1378, DOI , arXiv
- Seitz, A., Wall, W.A., Popp, A. (2019): Nitsche's method for finite deformation thermomechanical contact problems, Computational Mechanics, 63:1091-1110, DOI
- Pauw, J.D., Veggi, L., Haidn, O.J., Wagner, C., Thümmel, T., Rixen, D., 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, 11:193-203, DOI
- 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
- Meier, C., Popp, A., Wall, W.A. (2019): Geometrically exact finite element formulations for slender beams: Kirchhoff-Love theory vs. Simo-Reissner theory, Archives of Computational Methods in Engineering, 26:163-243, DOI
- 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
- Seitz, A., Wall, W.A., Popp, A. (2018): A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation employing non-smooth nonlinear complementarity functions, Advanced Modeling and Simulation in Engineering Sciences, 5:5, DOI (Open Access)
- 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, 114:1411-1437, DOI
- 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, DOI
- 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, 114:255-291, DOI
- 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, 114:399-430, DOI
- 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
- 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, 111:325-353, DOI
- 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
- 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, 108:1550-1576, DOI
- Seitz, A., Farah, P., Kremheller, J., Wohlmuth, B., 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
- 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
- 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, DOI
- 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, DOI
- 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
- Farah, P., Popp, A., Wall, W.A. (2015): Segment-based vs. element-based integration for mortar methods in computational contact mechanics, Computational Mechanics, 55:209-228, DOI
- Popp, A., Wall, W.A. (2014): Dual mortar methods for computational contact mechanics – overview and recent developments, GAMM-Mitteilungen, 37(1):66-84, DOI
- 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
- Ehrl, A., Popp, A., Gravemeier, V., Wall, W.A. (2014): A mortar approach with dual Lagrange multipliers for mesh tying within a variational multiscale method for incompressible flow, International Journal for Numerical Methods in Fluids, 76:1-27, DOI
- 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
- 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:B421-B446, DOI
- 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, 49:735-747, DOI
- 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, 200:3111-3126, DOI
- 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, 46:53-67, DOI
- 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, 84:543-571, DOI
- 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, 83:1428-1465, DOI
- 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, 79:1354-1391, DOI
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