Dr.-Ing. Matthias Mayr

Professur für Computergestützte Simulation im Bauingenieurwesen
Building 41/100, Room 5118
+49 89 6004 3554
matthias.mayr@unibw.de

Dr.-Ing. Matthias Mayr

Academic Career

 

09/2020 - Present Head of Laboratory, Data Science & Computing Lab, University of the Bundeswehr Munich, Germany
07/2018 - 08/2020 Postdoctoral Researcher & Lecturer, Institute for Mathematics & Computer-Based Simulation, University of the Bundeswehr Munich, Germany
03/2017 - 05/2018 Postdoctoral Researcher, Sandia National Laboratories, Livermore, CA, USA
10/2010 - 12/2016 Research & Teaching Associate, Mechanics & High Performance Computing Group, Technische Universität München, Germany
09/2015 Visiting Researcher, Computational Science Research Institute, Sandia National Laboratories, USA
04/2010 - 09/2010

Visiting Student Researcher, Duke Computational Mechanics Lab, Duke University, Durham, USA

Honors and Awards (Selection)

2017 Robert J. Melosh Medal, Duke University web-logo.png
2010 Scholarship of Prof. Dr. Erich Müller Stiftung for Research Visit at Duke University
2010 Scholarship of MAN Truck & Bus Company, Technische Universität München
2009 Rudolf Diesel Award, Technische Universität München
2008 - 2010 Full Academic Scholarship of the "Max-Weber-Programm", funded by the State of Bavaria
2008 - 2010 Full Scholarship of the "Bayerische EliteAkademie"

Research Interests

  • Coupled multi-physics problems, monolithic & partitioned coupling schemes
  • Fluid-structure interaction, magneto-hydrodynamics (MHD), electromagnetics
  • Contact & interface mechanics
  • Multi-scale phenomena
  • Cardiovascular mechanics, biomedical engineering
  • Parallel linear solvers & preconditioning, multi-level methods, nonlinear solvers
  • Time integration, error estimation, implicit/explicit (IMEX) schemes
  • Numerical methods for PDEs, Finite Element Methods, Mortar methods
  • High Performance Computing, Algorithms for Novel Hardware Architectures
  • Data-driven modelling

Scientific Software Development

I'm an active contributor to several multiphysics codes and math algorithm libraries:

  • 4C: in-house multiphysics code (in collaboration with the Institute for Computational Mechanics (TUM))
  • MIRCO: boundary element algorithm for simulating contact of rough surfaces (in collaboration with MUSAM)
  • Drekar: in-house multi-fluid plasma code (Sandia National Laboratories)
  • Trilinos: open-source project for algorithms for large-scale multiphsyics applications
  • MueLu: next-generation multigrid framework within Trilinos

Find an overview of my open-source contributions and activities on my GitHub profile GitHub.

Scientific Community

since 2022 Member GAMM Activity Group "Applied and Numerical Linear Algebra"
since 2020 Member GAMM Activity Group "Computational Science & Engineering"
since 2020 Member RISK Research Center - University of the Bundeswehr Munich (RISK)
since 2020 Member European Mechanics Society (EUROMECH)
since 2018 Member Society for Industrial and Applied Mathematics (SIAM)
since 2017 Member International Association of Applied Mathematics and Mechanics (GAMM)
since 2015 Member International Association for Computational Mechanics (IACM)
since 2015 Member German Association for Computational Mechanics (GACM)

Publications

Preprints and Articles Submitted for Publication

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Articles in Peer-Reviewed International Journals

    1. Firmbach M, Steinbrecher I, Popp A, Mayr M: An approximate block factorization preconditioner for mixed-dimensional beam-solid interaction, Computer Methods in Applied Mechanics and Engineering, 431:117256, 2024, DOI doi.png, arXiv web-logo.png
    2. Frank M, Holzberger F, Horvat M, Kirschke J, Mayr M, Muhr M, Nebulishvili N, Popp A, Schwarting J, Wohlmuth B: Numerical simulation of endovascular treatment options for cerebral aneurysms, GAMM-Mitteilungen, published online ahead of print, e202370007, 2024, DOI doi.png, arXiv web-logo.png
    3. Hagmeyer N, Mayr M, Popp A: Fully coupled mortar-type embedding of one-dimensional fibers into three-dimensional fluid flow, International Journal for Numerical Methods in Engineering, 125(8):e7435, 2024, DOI doi.png, arXiv web-logo.png
    4. Mayr M, Popp A: Scalable computational kernels for mortar finite element methods, Engineering with Computers, 39:3691-3720, 2023, DOI doi.png, arXiv web-logo.png
    5. Mayr M, Berger-Vergiat L, Ohm P, Tuminaro RS: Non-invasive multigrid for semi-structured grids, SIAM Journal on Scientific Computing, 44(4):A2734-A2764, 2022, DOI doi.png, arXiv web-logo.png
    6. Hagmeyer N, Mayr M, Steinbrecher I, Popp A: 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, 9:9, 2022, DOI (Open Access) doi.png, arXiv web-logo.png
    7. Wiesner TA, Mayr M, Popp A, Gee MW, Wall WA: Algebraic multigrid methods for saddle point systems arising from mortar contact formulations, International Journal for Numerical Methods in Engineering, 122(5):3749-3779, 2021, DOI (Open Access) doi.png, arXiv web-logo.png
    8. Steinbrecher I, Mayr M, Grill MJ, Kremheller J, Meier C, Popp A: A mortar-type finite element approach for embedding 1D beams into 3D solid volumes, Computational Mechanics, 66(6):1377-1398, 2020, DOI (Open Access) doi.png, arXiv web-logo.png
    9. Mayr M, Noll MH, Gee MW: A hybrid interface preconditioner for monolithic fluid-structure interaction solvers, Advanced Modeling and Simulation in Engineering Sciences, 7:15, 2020, DOI (Open Access) doi.png
    10. Bonari J, Marulli MR, Hagmeyer N, Mayr M, Popp A, Paggi M: A multi-scale FEM-BEM formulation for contact mechanics between rough surfaces, Computational Mechanics, 65(3):731-749, 2020, DOI doi.png, arXiv web-logo.png
    11. Mayr M, Wall WA, Gee MW: Adaptive time stepping for fluid-structure interaction solvers, Finite Elements in Analysis and Design, 141:55-69, 2018, DOI doi.png
    12. Thon MP, Hemmler A, Glinzer A, Mayr M, Wildgruber M, Zernecke-Madsen A, Gee MW: A multiphysics approach for modeling early atherosclerosis, Biomechanics and Modeling in Mechanobiology, 17(3):617-644, 2018, DOI doi.png
    13. Mayr M, Klöppel T, Wall WA, Gee MW: A Temporal Consistent Monolithic Approach to Fluid-Structure Interaction Enabling Single Field Predictors, SIAM Journal on Scientific Computing, 37(1):B30-B59, 2015, DOI doi.png, arXiv web-logo.png
Conference Proceedings and Book Contributions (with Peer-Review)
    1. Steimer C, Mayr M, Popp A (published online): Targeting a faster time-to-solution of mortar-based contact problems, In: 
    2. Proceedings in Applied Mathematics and Mechanics, e202300157, 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, 23(1):e202200227, DOI (Open Access) doi.png
    4. Hagmeyer N, Mayr M, Popp A: Fluid-structure interaction of slender continua with 3-dimensional flow: An embedded finite element approach (2021), In: Proceedings in Applied Mathematics and Mechanics, 20(1):e202000244, DOI (Open Access) doi.png
    5. 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
    6. 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
    7. 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
    8. Bonari J, Marulli MR, 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

Other Articles, Reports and Book Contributions

    1. Neumann P, Duffek JA, Kleinschmidt J, Leinen WG, 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. Berger-Vergiat L, Glusa CA, Hu JJ, Mayr M, Prokopenko A, Siefert CM, Tuminaro RS, Wiesner TA (2019): MueLu User's Guide, Technical Report SAND2019-0537, Sandia National Laboratories, Albuquerque, NM

International Conference Contributions with Abstract

  1. Mayr M, Hagmeyer N, Popp A: Two-way coupling in mixed-dimensional fluid/beam interaction, X International Conference on Coupled Problems in Science and Engineering, Chania/Crete, Greece, June 5-7, 2023
  2. Hagmeyer N, Mayr M, Popp A: Two-way coupling of slender beams with incompressible fluid flow, 9th GACM Colloqium on Computational Mechanics 2022, Essen, Germany, September 21 - 23, 2022
  3. Mayr M, Berger-Vergiat L, Ohm P, Tuminaro RS: Using structured multigrid methods in unstructured FEM solvers, 35th Chemnitz FE Symposium, Herrsching am Ammersee, Germany, September 15 - 17, 2022
  4. Mayr M, Berger-Vergiat L, Ohm P, Tuminaro RS: An algebraic multigrid method for partially structured grids, 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, Aachen, Germany, August 15 - 19, 2022
  5. Mayr M, Steimer C, Popp A: Dynamic load balancing for contact mechanics at large scale, 15th World Congress on Computational Mechanics & 8th Asian Pacific Congress on Computational Mechanics, Yokohama, Japan, July 31 - August 5, 2022
  6. Mayr M: Reducing Communication in Algebraic Multigrid Methods for Partially Structured Grids, invited, VI ECCOMAS Young Investigators Conference (YIC 2021), Valencia, Spain, July 7 - 9, 2021 [Cancelled due to parental leave]
  7. Mayr M, Popp A: Multilevel block preconditioning for mortar contact formulations, invited, 9th International Conference on Coupled Problems in Science and Engineering, Chia Laguna/Sardinia, Italy, June 13 - 16, 2021
  8. Mayr M, Wiesner T, Popp A: An algebraic multigrid method for mortar contact problems in saddle-point formulation, 20th Copper Mountain Conference On Multigrid Methods, Copper Mountain, CO, March 24 - April 2, 2021
  9. Mayr M, Popp A: Dynamic load balancing for large-scale mortar contact formulations, invited, 91st GAMM Annual Meeting, Kassel, Germany, March 15 - 19, 2021
  10. Mayr M, Wiesner T, Popp A: Multilevel saddle point preconditioners for mortar contact problems, 14th World Congress on Computational Mechanics (WCCM) & ECCOMAS Congress 2020, Paris, France, January 11 - 15, 2021, Video video.jpeg
  11. Mayr M: Solving computational contact problems efficiently at large scale, invited, 8th GACM Colloquium on Computational Mechanics, Kassel, Germany, August 28-30, 2019
  12. Mayr M: Multigrid methods for hybrid structured/unstructured grids, invited, International Congress on Industrial and Applied Mathematics (ICIAM2019), Valencia, Spain, July 15-19, 2019
  13. Mayr M: Using Trilinos/MueLu for Scalable Multigrid Preconditioning, invited, European Trilinos User Group Meeting, Zurich, Switzerland, June 11, 2019
  14. Mayr M, Lupo Pasini M, Berger-Vergiat L, Tuminaro RS (2018): A non-invasive matrix-based multigrid scheme for partially structured grids, 15th Copper Mountain Conference on Iterative Methods, Copper Mountain, CO, March 25 - 30, 2018
  15. Mayr M, Gee MW (2019): Improving the efficiency of monolithic fluid-structure interaction solvers, VIII International Conference on Coupled Problems in Science and Engineering, Sitges/Barcelona, Spain, June 3 - 5, 2019
  16. Mayr M, Cyr EC, Shadid JN, Pawlowski RP, Wildey TM, Scovazzi G, Zeng X, Phillips EG, Conde S (2017): Implicit-Explicit (IMEX) Time Integration for Multi-Physics: Application to ALE-based CFD Simulations, invited, 7th International Conference on Coupled Problems in Science and Engineering, Rhodes Island, Greece, June 12 - 14, 2017
  17. Mayr M, Gee MW (2015): Enhancing the Efficiency and Robustness of Monolithic Fuid-Structure Interaction Solvers, invited, ECCOMAS 2016 European Congress on Computational Methods in Applied Sciences and Engineering, Crete, Greece, June 5 - 10, 2016 
  18. Mayr M, Wall WA, Gee MW (2015): Enhancing the Efficiency and Robustness of Monolithic Fuid-Structure Interaction Solvers, invited, 13th U.S. National Congress on Computational Mechanics, San Diego, USA, July 26 - 30, 2015
  19. Mayr M, Wall WA, Gee MW (2015): An adaptive time-stepping procedure for monolithic fluid-structure interaction solvers, 3rd ECCOMAS Young Investigators Conference & 6th GACM Colloquium on Computational Mechanics, Aachen, Germany, July 20 - 23, 2015
  20. Mayr M, Wall WA, Gee MW (2014): An adaptive time stepping procedure for monolithic fluid-structure interaction solvers, 11th World Congress on Computational Mechanics, Barcelona, Spain, July 21 - 25, 2014
  21. Mayr M, Gee MW (2014): On efficient and temporal consistent time integration procedures for monolithic fluid-structure interaction solvers, invited, 8th International Workshop on Parallel Matrix Algorithms and Applications, Lugano, Switzerland, July 02 - 04, 2014
  22. Mayr M, Klöppel T, Wall WA, Gee MW (2013): A temporal consistent monolithic approach to fluid-structure interaction, 5th GACM Colloquium on Computational Mechanics, Hamurg-Harburg, Germany, September 30 - Oktober 2, 2013
  23. Mayr M, Klöppel T, Wall WA, Gee MW (2013): A temporal consistent monolithic approach to fluid-structure interaction enabling field specific predictors, invited, 5th International Conference on Coupled Problems in Science and Engineering, Ibiza, Spain, June 17 - 19, 2013
  24. Mayr M, Wall WA, Hautefeuille M, Dolbow JE, Laursen TA (2011): XFEM-based approach to plasticity at grain boundaries in poly-crystalline materials using Nitsche's method, 4th GACM Colloquium on Computational Mechanics, Dresden, Germany, August 31 - September 2, 2011

Posters

  1. Tuminaro RS, Hu JJ, Siefert C, Berger-Vergiat L, Mayr M (2018): Leveraging Problem Structure within Multilevel Solvers to Improve Robustness and Performance on Advanced Architectures, US Department of Energy ASCR Applied Mathematics Principal Investigators' Meeting, Rockville, MD, September 11-12, 2018
  2. Mayr M, Klöppel T, Wall WA, Gee MW (2013): A temporal consistent monolithic approach to fluid-structure interaction enabling single field predictors, 5th GACM Colloquium on Computational Mechanics, Hamurg-Harburg, Germany, September 30 - Oktober 2, 2013
  3. Mayr M, Gee MW (2015): Efficiency of monolithic solvers for incompressible fluid-structure interaction problems, Topical Workshop "Numerical Methods for Large-Scale Nonlinear Problems and Their Applications", ICERM at Brown University, Providence, RI, August 31 - September 04, 2015

Monographs

  1. Mayr M (2016): A Monolithic Solver for Fluid-Structure Interaction with Adaptive Time Stepping and a Hybrid Preconditioner, PhD thesis, Technische Universität München, 2016
  2. Mayr M (2010): Different sliding laws on embedded interfaces using Lagrange multipliers, penalty method and Nitsche's method, diploma thesis, Technische Universität München, 2010

Teaching

Courses & Exercises

Supervised Student Projects / Theses

  1. Algebraic multigrid block preconditioning for fluid-structure interaction using MueLu, University of the Bundeswehr Munich, Germany (2023)
  2. Aggregation-based algebraic multigrid methods for torsion-free Kirchhoff-Love beam finite elements, University of the Bundeswehr Munich, Germany (2021)
  3. Automating the MueLu tutorial with sphinx, University of the Bundeswehr Munich, Germany (2021)
  4. Iterative Solvers for Finite Element Systems, University of the Bundeswehr Munich, Germany (2020)
  5. Transfer Operators for Assembled Matrices based on Finite Element Hybrid Hierarchical Grids, Summer Internship at Sandia National Laboratories (2017)
  6. Black-Box Multigrid Solvers for Stokes Problems, Summer Internship at Sandia National Laboratories (2017)
  7. Constrained Pseudo-Transient Continuation for Computational Solid Dynamics, Bachelor's Thesis at TU München (2015)
  8. Domain Decomposition/Redistribution and Hybrid Additive/Multiplicative Schwarz Preconditioning for Monolithic Fluid-Structure Interaction Solvers, term paper at TU München (2015)
  9. Simulation of a two-mass-oscillator with different time integration schemes using Matlab, MSE Research Internship  at TU München (2014)
  10. A non-linear ALE mesh moving strategy for large-deformation fluid-structure interaction problems, Bachelor's Thesis  at TU München (2014)
  11. Time Adaptivity in Fluid-Structure Interaction, Bachelor's Thesis at TU München (2013)