PD Dr.-Ing. habil. Matthias Mayr

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

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1. Pramanik R, Gießler F, Frank M, Steinbrecher I, Mayr M, Larsen N, Saalfeld S, Popp A: Contact-resolved deployment of the Contour Neurovascular System in patient-specific intracranial aneurysms, submitted for publication, 2026, arXiv
2. Pramanik R, Dengiz D, Pravdivtseva M, Frank M, Steinbrecher I, Velvaluri P, Mayr M, Berg P, Saalfeld S, Larsen N, Jansen O, Popp A: Braided endovascular implants for intracranial aneurysms: mechanics, hemodynamics, and clinical translation, submitted for publication, 2026, arXiv
3. Frank M, Steinbrecher I, Mayr M, Popp A: Mechanical Modeling of Braided Neurovascular Flow Diverters Using a Beam-to-Beam and Beam-to-Surface Contact Formulation, submitted for publication, 2026, arXiv 
4. Firmbach M, Phillips M, Glusa C, Popp A, Siefert CM, Mayr M: Smoothed aggregation algebraic multigrid for problems with heterogeneous and anisotropic materials, submitted for publication, 2026, arXiv 

1. Firmbach M, Steinbrecher I, Popp A, Mayr M: Modified augmented Lagrangian preconditioning for mixed-dimensional beam-solid coupling, Computer Methods in Applied Mechanics and Engineering, 463:119425, 2027, DOI (Open Access) , arXiv 
2. Mayr M, Heinlein A, Glusa C, Rajamanickam S, Arnst M, Bartlett R, Berger-Vergiat L, Boman E, Devine K, Harper G, Heroux M, Hoemmen M, Hu J, Kelley B, Kim K, Kouri D, Kuberry P, Liegeois K, Ober C, Pawlowski R, Pearson C, Perego M, Phipps E, Ridzal D, Roberts N, Siefert C, Thornquist H, Tomasetti R, Trott C, Tuminaro R, Willenbring J, Wolf M, Yamazaki I: Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale, ACM Transactions on Mathematical Software, 52(2):12, 2026, DOI (Open Access) , arXiv 
3. 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 , arXiv 
4. 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 , arXiv 
5. 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 , arXiv 
6. Mayr M, Popp A: Scalable computational kernels for mortar finite element methods, Engineering with Computers, 39:3691-3720, 2023, DOI , arXiv 
7. Mayr M, Berger-Vergiat L, Ohm P, Tuminaro RS: Non-invasive multigrid for semi-structured grids, SIAM Journal on Scientific Computing, 44(4):A2734-2764, 2022, DOI , arXiv 
8. 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) , arXiv 
9. 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) , arXiv
10. 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) , arXiv 
11. 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)
12. 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 , arXiv
13. 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
14. 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
15. 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 , arXiv

1. Steimer C, Mayr M, Popp A (published online): Targeting a faster time-to-solution of mortar-based contact problems, In: Proceedings in Applied Mathematics and Mechanics, e202300157, DOI (Open Access)
2. 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)
3. 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)
4. 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)
5. 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
6. 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
7. 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

1. Mayr M, Duffek JA (2026): Performance portability for the MIRCO BEM solver for rough surface contact, In: Supporting Competence Development and Problem Solving in
   High Performance Computing: Insights into Performance Engineering Projects from an Educational Perspective, p. 68--69, Rathmann M, Kolling A (Eds.), Universitätsbibliothek der HSU/UniBw H, Hamburg, Germany, DOI (Open Access) 
2. Duffek JA, Bechelaoui I, Leinen WG, Preuß H, Schlumbohn S, Schumann Y, Dethof F,  Keßler S, Rathmann M, Kleinschmidt J, Kolling A, Schmidt-Lauff S, Fink A, Stiemer M, Mayr M, Neumann P (2024): hpc.bw: an evaluation of short-term performance engineering projects, In: dtec.bw-Beiträge der Helmut-Schmidt-Universität / Universität der Bundeswehr Hamburg, 2:223-228, D. Schulz et al. (Eds.), Hamburg, Germany, DOI (Open Access)
3. 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)
4. 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

1. Firmbach M, Phillips M, Glusa C, Popp A, Siefert CM, Mayr M: Improving Aggregation in Algebraic Multigrid Methods for Problems with Heterogeneous and Anisotropic Materials, 17th World Congress on Computational Mechanics & 10th European Congress on Computational Methods in Applied Sciences and Engineering, Munich, Germany, July 19 - 24, 2026
2. Engelhardt L, Gebauer AM, Hammerl G, Mayr M, Meier C, Popp A, Praegla PM, Schmidt CP, Steinbrecher I, Wall WA: The 4C Multiphysics Framework, 17th World Congress on Computational Mechanics & 10th European Congress on Computational Methods in Applied Sciences and Engineering, Munich, Germany, July 19 - 24, 2026
3. Mayr M, Firmbach M, Frank M, Ivannikov V: Modernizing the 4C linear algebra backend: from Epetra to Tpetra, HPSF Community Summit, Braunschweig, Germany, Feb 25 -27, 2026
4. Mayr M: Trilinos Introduction and Overview, HPSF Community Summit, Braunschweig, Germany, Feb 25 -27, 2026
5. Mayr M: High Performance Software Foundation - Building the Future of HPC Software, HPSF Community Summit, Braunschweig, Germany, Feb 25 -27, 2026
6. Mayr M: The Role of Trilinos in 4C: Advancing Coupled Multiphysics Simulations, invited, 1st HPSF Conference, Chicago, USA, May 5 - 8, 2025, Video 
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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]
13. 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
14. 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
15. Mayr M, Popp A: Dynamic load balancing for large-scale mortar contact formulations, invited, 91st GAMM Annual Meeting, Kassel, Germany, March 15 - 19, 2021
16. 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 
17. Mayr M: Solving computational contact problems efficiently at large scale, invited, 8th GACM Colloquium on Computational Mechanics, Kassel, Germany, August 28-30, 2019
18. Mayr M: Multigrid methods for hybrid structured/unstructured grids, invited, International Congress on Industrial and Applied Mathematics (ICIAM2019), Valencia, Spain, July 15-19, 2019
19. Mayr M: Using Trilinos/MueLu for Scalable Multigrid Preconditioning, invited, European Trilinos User Group Meeting, Zurich, Switzerland, June 11, 2019
20. 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
21. 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
22. 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
23. 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 
24. 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
25. 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
26. 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
27. 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
28. 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
29. 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
30. 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