Dr.-Ing. Matthias Mayr

Dr.-Ing. Matthias Mayr
Professur für Computergestützte Simulation im Bauingenieurwesen
Gebäude 41/100, Zimmer 5115
+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 - Present 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
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:

  • Baci: in-house multiphysics code (in collaboration with the Institute for Computational Mechanics (TUM))
  • 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 2020 Member RISK Research Center - University of the Bundeswehr Munich (RISK)
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

  1. Mayr M, Berger-Vergiat L, Ohm P, Tuminaro RS: Non-invasive multigrid for semi-structured grids, submitted for publication
  2. Wiesner TA, Mayr M, Popp A, Gee MW, Wall WA: Algebraic multigrid methods for saddle point systems arising from mortar contact formulations, submitted for publication, arXiv web-logo.png

Articles in Peer-Reviewed International Journals

    1. 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):13:77-1398, online, DOI (Open Access) doi.pngarXiv web-logo.png
    2. Mayr, M., Noll, M.H., Gee, M.W.: A hybrid interface preconditioner for monolithic fluid-structure interaction solvers, Advanced Modeling and Simulation in Engineering Sciences, 7:15, DOI (open access) doi.png
    3. Bonari J, Marulli MR, 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.png, arXiv web-logo.png
    4. Mayr M, Wall WA, Gee MW (2018): Adaptive time stepping for fluid-structure interaction solvers, Finite Elements in Analysis and Design, 141:55-69, DOI doi.png
    5. Thon MP, Hemmler A, Glinzer A, Mayr M, Wildgruber M, Zernecke-Madsen A, Gee MW (2018): A multiphysics approach for modeling early atherosclerosis, Biomechanics and Modeling in Mechanobiology, 17(3):617-644, DOI doi.png
    6. Mayr M, Klöppel T, Wall WA, Gee MW (2015): A Temporal Consistent Monolithic Approach to Fluid-Structure Interaction Enabling Single Field Predictors, SIAM Journal on Scientific Computing, 37(1):B30-B59, DOI doi.png, arXiv web-logo.png

 International Conference Contributions with Abstract

  1. Mayr, M: Reducing Communication in Algebraic Multigrid Methods for Partially Structured Grids, VI ECCOMAS Young Investigators Conference (YIC 2021), Valencia, Spain, July 7 - 9, 2021
  2. Mayr, M: Solving computational contact problems efficiently at large scale, invited, 8th GACM Colloquium on Computational Mechanics, Kassel, Germany, August 28-30, 2019
  3. Mayr, M: Multigrid methods for hybrid structured/unstructured grids, invited, International Congress on Industrial and Applied Mathematics (ICIAM2019), Valencia, Spain, July 15-19, 2019
  4. Mayr, M: Using Trilinos/MueLu for Scalable Multigrid Preconditioning, invited, European Trilinos User Group Meeting, Zurich, Switzerland, June 11, 2019
  5. 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
  6. 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
  7. 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
  8. 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 
  9. Mayr M, Wall WA, Gee MW (2015): Enhancing the Efficiency and Robustness of Monolithic Fuid-Structure Interaction Solvers, invited13th U.S. National Congress on Computational Mechanics, San Diego, USA, July 26 - 30, 2015
  10. 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
  11. 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
  12. Mayr M, Gee MW (2014): On efficient and temporal consistent time integration procedures for monolithic fluid-structure interaction solvers, invited8th International Workshop on Parallel Matrix Algorithms and Applications, Lugano, Switzerland, July 02 - 04, 2014
  13. 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
  14. 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
  15. 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

Reports

  1. 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

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. Iterative Solvers for Space-Time Finite Elements, University of the Bundeswehr Munich, Germany (2020)
  2. Transfer Operators for Assembled Matrices based on Finite Element Hybrid Hierarchical Grids, Summer Internship at Sandia National Laboratories (2017)
  3. Black-Box Multigrid Solvers for Stokes Problems, Summer Internship at Sandia National Laboratories (2017)
  4. Constrained Pseudo-Transient Continuation for Computational Solid Dynamics, Bachelor's Thesis at TU München (2015)
  5. Domain Decomposition/Redistribution and Hybrid Additive/Multiplicative Schwarz Preconditioning for Monolithic Fluid-Structure Interaction Solvers, term paper at TU München (2015)
  6. Simulation of a two-mass-oscillator with different time integration schemes using Matlab, MSE Research Internship  at TU München (2014)
  7. A non-linear ALE mesh moving strategy for large-deformation fluid-structure interaction problems, Bachelor's Thesis  at TU München (2014)
  8. Time Adaptivity in Fluid-Structure Interaction, Bachelor's Thesis at TU München (2013)