Preprints and Articles Submitted for Publication
      1. Firmbach M., Steinbrecher, I., Popp A., Mayr M. (2024): Physics-based block preconditioning for mixed-dimensional beam-solid interaction. Preprint, submitted for publication arXiv web-logo.png
      2. Frank M., F. Holzberger, M. Horvat, J. Kirschke, M. Mayr, M. Muhr, N. Nebulishvili, A. Popp, J. Schwarting, and B. Wohlmuth (2023): Numerical simulation of endovascular treatment options for cerebral aneurysms. Preprint, submitted for publication arXiv web-logo.png
      3. Key F, von Danwitz M, Ballarin F, Rozza G (2023): Model Order Reduction for Deforming Domain Problems in a Time-Continuous Space-Time Setting. PreprintarXiv web-logo.png
      4. Steinbrecher, I., Hagmeyer, N., Meier C., Popp, A. (2022): A consistent mixed-dimensional coupling approach for 1D Cosserat beams and 2D solid surfaces, Preprint, submitted for publication, arXiv web-logo.png
Monographs and Edited Volumes
  1. Popp, A., Wriggers, P. (Eds.) (2018): Contact Modeling for Solids and Particles, CISM International Centre for Mechanical Sciences 585, Springer International Publishing, Link web-logo.png
  2. Mayr M (2016): A Monolithic Solver for Fluid-Structure Interaction with Adaptive Time Stepping and a Hybrid Preconditioner, Mechanics & High Performance Computing Goup, Report No. 1, Technische Universität München (TUM), Link web-logo.png
  3. Popp, A. (2012): Mortar methods for computational contact mechanics and general interface problems, Institute for Computational Mechanics, Report No. 14, Technische Universität München (TUM), Link web-logo.png
Articles in Peer-Reviewed International Journals
  1. 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) doi.pngarXiv web-logo.png
  2. 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) doi.pngarXiv web-logo.png
  3. 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) doi.png
  4. 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 EngineeringDOI (Open Access) doi.png
  5. Mayr, M. Popp A. (2023): Scalable computational kernels for mortar finite element methods, Engineering with Computers, 39:3691-3720, DOI (Open Access) doi.png
  6. Pinto Carvalho, R., Couto Carneiro, A.M., Andrade Pires, F.M., Popp, A. (2023): An efficient contact algorithm for rigid/deformable interaction based on the dual mortar method, Computational Mechanics, 71:143-167, DOI (Open Access) doi.png
  7. 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) doi.png
  8. 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-A2764, DOI doi.png, arXiv web-logo.png
  9. 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) doi.png
  10. 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) doi.png
  11. 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) doi.png, arXiv web-logo.png
  12. 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) doi.png
  13. 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) doi.png
  14. 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) doi.png
  15. 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 doi.pngarXiv web-logo.png
  16. 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 doi.png, arXiv web-logo.png
  17. Seitz, A., Wall, W.A., Popp, A. (2019): Nitsche's method for finite deformation thermomechanical contact problems, Computational Mechanics, 63:1091-1110, DOI doi.png
  18. 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 doi.png
  19. 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 doi.png
  20. 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 doi.png
  21. 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 doi.png
  22. 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) doi.png
  23. 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 doi.png
  24. 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 doi.png
  25. 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 doi.png
  26. 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 doi.png
  27. 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 doi.png
  28. 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 doi.png
  29. 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 doi.png
  30. 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 doi.png
  31. 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 doi.png
  32. 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 incompressible flow, Journal of Computational Physics, 307:670-695, DOI doi.png
  33. 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 doi.png
  34. 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 doi.png
  35. 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 doi.png
  36. 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 doi.png
  37. Popp, A., Wall, W.A. (2014): Dual mortar methods for computational contact mechanics – overview and recent developments, GAMM-Mitteilungen, 37(1):66-84, DOI doi.png
  38. 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 doi.png
  39. 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, 76:1-27, DOI doi.png
  40. 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 doi.png
  41. 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 doi.png
  42. 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 doi.png
  43. 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 doi.png
  44. 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 doi.png
  45. 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 doi.png
  46. 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 doi.png
  47. 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 doi.png
Peer-Reviewed Proceedings and Book Contributions
    1. Steimer, C., Mayr, M., Popp, A., (2023). Targeting a faster time-to-solution of mortar-based contact problems, In: Proceedings in Applied Mathematics and Mechanics, DOI (Open Access) doi.png
    2. Milani, R., Sahin, T., von Danwitz, M., Moll, M., Popp, A., Pickl, S. (2023). Automatic concrete bridge crack detection from strain measurements: A preliminary study. In: Critical Information Infrastructures Security. CRITIS 2022. Lecture Notes in Computer Science, vol 13723, Hämmerli, B., Helmbrecht, U., Hommel, W., Kunczik, L., Pickl, S. (Eds) . Springer, Cham, Germany, DOI (Open Access) doi.png
    3. Firmbach, M., Steinbrecher, I., Popp, A., Mayr, M. (2023): Computational challenges in mixed-dimensional beam/solid coupling, In: Proceedings in Applied Mathematics and Mechanics, 22:e202200227, DOI (Open Access) doi.png
    4. von Danwitz M, Kochmann T, Sahin T, Wimmer J, Braml T, Popp A (2023): Hybrid Digital Twins: A Proof of Concept for Reinforced Concrete Beams. Proceedings in Applied Mathematics and Mechanics, 22(1): e202200146, DOI (Open Access) doi.png
    5. Hesch, C., Khristenko, U., Krause, R., Popp, A., Seitz, A., Wall, W.A., Wohlmuth, B.: Frontiers in mortar methods for isogeometric analysis, In: Non-standard Discretisation Methods in Solid Mechanics, Lecture Notes in Applied and Computational Mechanics, vol 98., J. Schröder, P. Wriggers (eds.), Springer, Cham, Germany, DOI arXiv web-logo.png
    6. Popp, A., Steinbrecher, I. (2022): Finite element formulations for beam-to-solid interaction - From embedded fibers towards contact, In: Current Trends and Open Problems in Computational Mechanics, 425-434, F. Aldakheel et al. (eds.), Springer-Verlag, Germany, DOI (Open Access) doi.png
    7. Hagmeyer, N., Mayr, M., Popp, A. (2021): Fluid-structure interaction of slender continua with 3-dimensional flow: An embedded finite element approach, In: Proceedings in Applied Mathematics and Mechanics, 20(1):e202000244, DOI (Open Access) doi.png
    8. Mayr, M., Popp, A. (2021): Dynamic load balancing for large-scale mortar contact formulations, In: Proceedings in Applied Mathematics and Mechanics, 20(1):e202000196, DOI (Open Access) doi.png
    9. Steinbrecher, I., Popp, A. (2021): Efficient mortar-based algorithms for embedding 1D fibers into 3D volumes, In: Proceedings in Applied Mathematics and Mechanics, 20(1):e202000151, DOI (Open Access) doi.png
    10. Backmann, V., Klingenbeck, J., Popp, A., Drechsler, K. (2021): Influence on the strain rate at room temperature of a silicone rubber used as fiber placement roller jacket, SAMPE Europe Conference 2021, Baden/Zürich, Switzerland
    11. Steinbrecher, I., Popp, A. (2019): Mesh tying and contact algorithms for nonlinear beam-to-solid interactions, In: Proceedings of the 8th GACM Colloquium on Computational Mechanics, T. Gleim, S. Lange (eds.), Kassel University Press, Germany
    12. Popp, A., Wunderlich, L., Seitz, A., Wohlmuth, B. (2019): Isogeometric dual mortar methods for computational contact and interface mechanics, In: Proceedings of the 8th GACM Colloquium on Computational Mechanics, T. Gleim, S. Lange (eds.), Kassel University Press, Germany
    13. Mayr, M., Popp, A. (2019): Solving computational contact problems efficiently at large scale, In: Proceedings of the 8th GACM Colloquium on Computational Mechanics, T. Gleim, S. Lange (eds.), Kassel University Press, Germany
    14. Hagmeyer, N., Mayr, M., Popp, A. (2019): A weak Dirichlet-Neumann partitioned algorithm for 1-dimensional structures embedded in a 3-dimensional fluid, In: Proceedings of the 8th GACM Colloquium on Computational Mechanics, T. Gleim, S. Lange (eds.), Kassel University Press, Germany
    15. Bonari, J., Marulli, M.R., Hagmeyer, N., Mayr, M., Popp, A., Paggi, M. (2019): An interface element formulation for frictionless normal contact between rough surfaces, In: Proceedings of the 8th GACM Colloquium on Computational Mechanics, T. Gleim, S. Lange (eds.), Kassel University Press, Germany
    16. Popp, A. (2018): State-of-the-art computational methods for finite deformation contact modeling of solids and structures, In: Contact Modeling for Solids and Particles, 585:1-86, A. Popp, P. Wriggers (eds.), Springer International Publishing, Switzerland
    17. Popp, A., Gee, M.W., Wall, W.A. (2013): Mortar methods for single-field and multi-field applications in computational mechanics, In: Sustained Simulation Performance 2012, 133-154, M. Resch et al. (eds.), Springer-Verlag, Germany
    18. Popp, A., Gee, M.W., Wall, W.A. (2013): A primal-dual active set strategy for finite defor-mation dual mortar contact, In: Lecture Notes in Applied and Computational Mechanics, 56:151-171, G.E. Stavroulakis (ed.), Springer-Verlag, Germany
    19. Klöppel, T., Popp, A., Wall, W.A. (2011): Interface treatment in computational fluid-structure interaction, In: Proceedings of the ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2011),
      Papadrakakis, N.D. Lagaros, M. Fragiadakis (eds.), Corfu, Greece
    20. Popp, A., Wall, W.A. (2011): Computational contact dynamics including multiphysics and multiscale effects, In: Proceedings of the ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2011), M. Papadrakakis, N.D. Lagaros, M. Fragiadakis (eds.), Corfu, Greece
    21. Popp, A., Gee, M.W., Wall, W.A. (2010): Finite deformation contact based on a 3D dual mortar and semi-smooth Newton approach, In: Lecture Notes in Applied and Computational Mechanics, 58:57-77, G. Zavarise, P. Wriggers (eds.), Springer-Verlag, Germany
    22. Popp, A., Gitterle, M., Gee, M.W., Wall, W.A. (2009): A mortar method for finite deformation frictional contact using a primal-dual active set strategy, In: Computational Plasticity X - Fundamentals and Applications, Proceedings of the 10th International Conference on Computational Plasticity (COMPLAS 2009), E. Onate, D.R.J. Owen, B. Suarez (eds.), Barcelona, Spain
Other Articles and Book Contributions
  1. Neumann, P., Duffek, J.A., Kleinschmidt, J., Leinen, W.G., Breuer, M., Schmidt-Lauff, S., Fink, A., Mayr, M., Firmbach, M., Popp, A., Auwetter, A. (2022): hpc.bw - A supercomputer with competence platform for the universities of the federal armed forces, In: dtec.bw-Beiträge der Helmut-Schmidt-Universität / Universität der Bundeswehr Hamburg, 1:305-310, D. Schulz et al. (Eds.), Hamburg, Germany, DOI (Open Access) doi.png
  2. Popp, A., Wall, W.A. (2013): Mortar methods for computational contact mechanics and general interface problems, IACM expressions, 33:10-13
  3. Westfall, J., Maute, K.K, Klöppel, T., Popp, A., Gitterle, M., Wall, W.A. (2011): Nonlinear multi-physics coupling for non-conforming interfaces based on a dual mortar formulation, In: DFG Sonderforschungsbereich / TR 40, Proceedings of the Summer Program 2011,
    A. Adams et al. (eds.), München, Germany
  4. Klöppel, T., Popp, A., Wall, W.A. (2010): Fluid-structure interaction for non-conforming interfaces based on a dual mortar formulation, In: DFG Sonderforschungsbereich / TR 40, Annual Report 2010, N.A. Adams et al. (eds.), München, Germany