About me

I am a postdoctoral researcher at the Chair of Numerical Methods for Partial Differential Equations at the Institute of Mathematics at the Technical University of Berlin, Germany.

I am developing algorithms and software for scientific computing in the following research fields:

  1. high-performance computing: matrix-free computations, dynamic sparse communication patterns, node-level optimization

  1. iterative solvers: multigrid, block preconditioners

  1. efficient algorithms for high-dimensional partial differential equations (e.g., 6D Vlasov-Poisson)

  1. discontinuous Galerkin methods

  1. computational fluid dynamics

  1. simulation of additive manufacturing processes including solid-state sintering and melt-pool modeling

Furthermore, I am one of the principal developers of the general-purpose finite-element library deal.II, winner of the SIAM/ACM Prize in Computational Science and Engineering 2025. I have participated in writing the following tutorials of deal.II: step-19, step-68 (both demonstrating the particle infrastructure), step-75 (matrix-free multigrid for hp-FEM), step-76 (matrix-free Euler solver exploiting MPI-3.0 shared-memory features), step-87 (evaluation of finite-element solutions at arbitrary points within a distributed mesh with application to two-phase flow), step-89 (matrix-free operator evaluation for non-matching and Chimera methods with application to acoustic conservation equations).

For more details on my current projects, see my GitHub page: https://github.com/peterrum.

Resume

Short Biography

  1. Technical University of Berlin, Germany

    2024 —

    Postdoctoral researcher at the Chair of Numerical Methods for Partial Differential Equations at the Institute of Mathematics.

  2. Uppsala University, Sweden

    2024

    Postdoctoral researcher at the Division of Scientific Computing and the Uppsala Architecture Research Team at the Department of Information Technology.

  3. University of Augsburg, Germany

    2023

    Doctoral degree (Dr. rer. nat.) with summa cum laude at the Faculty of Mathematics, Natural Sciences, and Materials Engineering.

    Dissertation: Matrix-free finite-element computations at extreme scale and for challenging applications.

    2022 — 2023

    Research associate and PhD student at the chair for High-Performance Scientific Computing at the Faculty of Mathematics, Natural Sciences, and Materials Engineering; supervisor: Prof. Martin Kronbichler.

  4. Uppsala University, Sweden

    2021 — 2022

    Visiting researcher at the Division of Scientific Computing, Department of Information Technology.

  5. Helmholtz-Zentrum Hereon, Germany

    2019 — 2022

    Research associate at the Institute of Material Systems Modeling in Geesthacht.

  6. Technical University of Munich, Germany

    2018 — 2022

    Research associate and PhD student at the Institute for Computational Mechanics at the TUM School of Engineering and Design; supervisor: Prof. Wolfgang A. Wall; mentor: Dr. Martin Kronbichler.

    2018

    Master of Science (M.Sc.) in Computational Science and Engineering.

    Master's thesis: An efficient hybrid multigrid solver for high-order discontinuous Galerkin methods.

    2016

    Master of Science (M.Sc.) in Mechanical Engineering.

    Master's thesis: MPI parallelisation of a multiphase solver and its application on cavitation bubble dynamics.

Teaching

  1. Technical University of Berlin, Germany

    2026

    Lecturer of the lab course "Advanced Topics in Numerics of PDEs: FEM for the Navier-Stokes Equations".

    Teaching assistant for the course "Seminar: Numerical Methods for PDEs".

    2025/2026

    Teaching assistant for the course "Numerical Methods for PDEs".

    Lecturer of the course "Mathematics Prep Course for Scientific Computing".

    2025

    Teaching assistant for the course "Numerical Methods II".

    Tutor for the course "Analysis II for Engineering".

    Teaching assistant for the course "Seminar: Numerical Methods for PDEs".

    2024/2025

    Teaching assistant for the course "Numerical Methods for PDEs".

  2. Uppsala University, Sweden

    2024

    Lecturer of the course "High-Performance Parallel Computing".

  3. University Of Augsburg, Germany

    2023

    Teaching assistant for the course "Numerical Linear Algebra".

    2022/2023

    Teaching assistant for the course "Introduction into Data Science and Data Engineering".

  4. Technical University Of Munich, Germany

    2018/2019

    Teaching assistant for the course "Numerical Methods for Engineers".

Publications

Submitted manuscripts

    2026

  1. D. Arndt, W. Bangerth, B. Blais, M. Fehling, R. Gassmöller, T. Heister, L. Heltai, V. Ivannikov, M. Kronbichler, M. Maier, P. Munch, A. Steger, D. Still, B. Turcksin, D. Wells, The deal.II Library, Version 9.8, (Accepted) 2026. PDF

  2. B. Campos, P. Munch, V. Oliveira Ferreira, D. C. Boffito, X. Banquy, B. Blais, High-order stabilized matrix-free simulation of rotating mixing devices using the mortar element method, arXiv:2608.27423, 2026. PDF

  3. P. Munch, M. Fehling, M. Kronbichler, N. Margenberg, L. Prieto Saavedra: Solving the (Navier–)Stokes equations with space and time adaptivity using deal.II, arXiv:2603.29621, 2026. PDF

    4. 2025

  4. M. Feder, L. Heltai, M. Kronbichler, P. Munch, Matrix-free implementation of the non-nested multigrid method, available at SSRN: http://dx.doi.org/10.2139/ssrn.5052200, 2024.

    5. 2024

  5. N. Margenberg, P. Munch, A space-time multigrid method for space-time finite element discretizations of parabolic and hyperbolic PDEs, arXiv:2408.04372, 2024. PDF

Articles in peer-reviewed international journals

    2026

  1. G. Kreiss, P. Munch, S. Wang, CutGDM: High-order cut Galerkin difference methods for the linear advection equation, Journal of Computational Physics, vol. 567, article 115302, 2026. DOI

  2. M. Maier, P. Munch, M. Nazarov, Revisiting the slip boundary condition: surface roughness as a hidden tuning parameter, Journal of Mathematical Fluid Mechanics, vol. 28, article 30, 2026. DOI

  3. A. Alphonius, L. Barbeau, B. Blais, O. Gaboriault, O. Guévremont, J. Lamouche, P. Laurentin, O. Marquis, P. Munch, V. Oliveira Ferreira, H. Papillon-Laroche, P. A. Patience, L. Prieto Saavedra, M. Vaillant. Lethe 1.0: An open-source parallel high-order computational fl uid dynamics software framework for single and multiphase flows. Computer Physics Communications, vol. 318, 109880, 2026. DOI

    4. 2025

  4. N. Margenberg, M. Bause, P. Munch, An hp multigrid approach for tensor-product space-time finite element discretizations of the Stokes equations, SIAM Journal on Scientific Computing, vol. 47(6), pp. B1503-1529, 2025. DOI

  5. D. Arndt, W. Bangerth, M. Bergbauer, B. Blais, M. Fehling, R. Gassmöller, T. Heister, L. Heltai, M. Kronbichler, M. Maier, P. Munch, S. Scheuerman, B. Turcksin, S. Uzunbajakau, D. Wells, M. Wichrowski, The deal.II library, Version 9.7, Journal of Numerical Mathematics, vol. 33(4), pp. 403-415, 2025. DOI

  6. L. Prieto Saavedra, J. Archambault, P. Munch, B. Blais, An implicit large-eddy simulation study of the turbulent Taylor-Couette flow with an inner rotating cylinder, Journal of Turbulence, vol. 26(6–7), pp. 219–233, 2025. DOI

  7. C. Belponer, J. C. Garay, P. Munch, D. Peterseim, Super-localized orthogonal decomposition method for heterogeneous linear elasticityComputational Methods in Applied Mathematics, vol. 25(3), pp. 561-579, 2025. DOI

  8. L. Prieto Saavedra, P. Munch, B. Blais, A matrix-free stabilized solver for the incompressible Navier-Stokes equations, Journal of Computational Physics, vol. 538, October, 114186, 2025. DOI

  9. M. Schreter-Fleischhacker, N. Much, P. Munch, M. Kronbichler, W. A. Wall, C. Meier, A consistent diffuse-interface finite element approach to rapid melt-vapor dynamics with application to metal additive manufacturing, Computer Methods in Applied Mechanics and Engineering, vol. 442, 117985, 2025. DOI

  10. V. Ivannikov, P. Munch, T. Ebel, R. Willumeit-Römer, C. Cyron, Introducing long-range particle interactions into phase-field models of sintering using continuum mechanics principles, Computational Materials Science, vol. 253, 113844, 2025. DOI

  11. M. Bergbauer, P. Munch, W. A. Wall, M. Kronbichler, High-performance matrix-free unfitted finite element operator evaluation, SIAM Journal on Scientific Computing, vol.47(3), pp. B665-B689, 2025. DOI

  12. R. Schussnig, N. Fehn, P. Munch, M. Kronbichler, Matrix-free higher-order finite element methods for hyperelasticity, Computer Methods in Applied Mechanics and Engineering, vol. 435, 117600, 2025. DOI

  13. M. Wichrowski, P. Munch, M. Kronbichler, G. Kanschat, Smoothers with localized residual computations for geometric multigrid methods, SIAM Journal on Scientific Computing, vol. 47(3), pp. B645-B664, 2025. DOI

    14. 2024

  14. P. C. Africa, D. Arndt, W. Bangerth, B. Blais, M. Fehling, R. Gassmöller, T. Heister, L. Heltai, S. Kinnewig, M. Kronbichler, M. Maier, P. Munch, M. Schreter-Fleischhacker, J. P. Thiele, B. Turcksin, D. Wells, V. Yushutin, The deal.II library, version 9.6, Journal of Numerical Mathematics, vol. 32(4), pp. 369-380, 2024. DOI

  15. M. Schreter-Fleischhacker, P. Munch, N. Much, M. Kronbichler, W. A. Wall, C. Meier, A consistent diffuse-interface model for two-phase flow problems with rapid evaporation, Advanced Modeling and Simulation in Engineering Sciences, vol. 11, article 19, 2024. DOI

  16. N. Much, M. Schreter-Fleischhacker, P. Munch, M. Kronbichler, W. A. Wall, C. Meier, Improved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations, Advanced Modeling and Simulation in Engineering Sciences, vol. 11, article 16, 2024. DOI

  17. P. Munch, V. Ivannikov, C. Cyron, M. Kronbichler, On the construction of an efficient finite-element solver for phase-field simulations of many-particle solid-state-sintering processes, Computational Materials Science, vol. 231, 112589, 2024. DOI

  18. S. D. Proell, P. Munch, M. Kronbichler, W. A. Wall, C. Meier, A highly efficient computational framework for fast scan-resolved simulations of metal additive manufacturing processes on the scale of real parts. Additive Manufacturing, vol. 79, pp. 1039211, 2024. DOI

  19. P. Munch, I. Dravins, M. Kronbichler, M. Neytcheva, Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit, SIAM Journal on Scientific Computing (SISC), vol. 46(2), pp. S71–S96, 2024. DOI

    20. 2023

  20. P. Munch, M. Kronbichler, Cache-optimized and low-overhead implementations of additive Schwarz methods for high-order FEM multigrid computations, The International Journal of High Performance Computing Applications, vol. 38(3), pp. 192-209, 2023. DOI

  21. D. Arndt, W. Bangerth, M. Bergbauer, M. Feder, M. Fehling, J. Heinz, T. Heister, L. Heltai, M. Kronbichler, M. Maier, P. Munch, J.-P. Pelteret, B. Turcksin, D. Wells, S. Zampini, The deal.II library, version 9.5, Journal of Numerical Mathematics, vol. 31(3), pp. 231-246, 2023. DOI

  22. J. Heinz, P. Munch, M. Kaltenbacher, High-order non-conforming discontinuous Galerkin methods for the acoustic conservation equations, International Journal for Numerical Methods in Engineering, vol. 124(9), pp. 2034–2049, 2023. DOI

  23. P. Munch, T. Heister, L. Prieto Saavedra, M. Kronbichler, Efficient distributed matrix-free multigrid methods on locally refined meshes for FEM computations, ACM Transactions on Parallel Computing, vol. 10(1), article 3, pp. 1–38, 2023. DOI

  24. S. Golshan, P. Munch, R. Gassmöller, M. Kronbichler, B. Blais, Lethe-DEM: An open-source parallel discrete element solver with load balancing, Computational Particle Mechanics, vol. 10(1), pp. 77–96, 2023. DOI

  25. M. Kronbichler, D. Sashko, P. Munch, Enhancing data locality of the conjugate gradient method for high-order matrix-free finite-element implementations, The International Journal of High Performance Computing Applications, vol. 37(2), pp. 61-81, 2023. DOI

    26. 2022

  26. D. Arndt, W. Bangerth, M. Feder, M. Fehling, R. Gassmöller, T. Heister, L. Heltai, M. Kronbichler, M. Maier, P. Munch, JP. Pelteret, S. Sticko, B. Turcksin, D. Wells, The deal.II library, version 9.4, Journal of Numerical Mathematics, vol. 30, no. 3, pp. 231-246, 2022. DOI

  27. N. Fehn, M. Kronbichler, P. Munch, W. A. Wall, Numerical evidence of anomalous energy dissipation in incompressible Euler flows: Towards grid-converged results for the inviscid Taylor-Green problem, Journal of Fluid Mechanics, vol. 932, A40, 2022. DOI

    28. 2021

  28. D. Arndt, W. Bangerth, B. Blais, M. Fehling, R. Gassmöller, T. Heister, L. Heltai, U. Köcher, M. Kronbichler, M. Maier, P. Munch, JP. Pelteret, S. Proell, K. Simon, B. Turcksin, D. Wells, J. Zhang, The deal.II library, version 9.3, Journal of Numerical Mathematics, vol. 29(3), pp. 171-186, 2021. DOI

  29. P. Munch, K. Kormann, M. Kronbichler, hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations, ACM Transactions on Mathematical Software, vol. 47(4), pp. 1–34, 2021. DOI

    30. 2020

  30. D. Arndt, W. Bangerth, B. Blais, T. C. Clevenger, M. Fehling, A. V. Grayver, T. Heister, L. Heltai, M. Kronbichler, M. Maier, P. Munch, JP. Pelteret, R. Rastak, I. Thomas, B. Turcksin, Z. Wang, D. Wells, The deal.II library, version 9.2, Journal of Numerical Mathematics, vol. 28(3), pp. 131-146, 2020. DOI

  31. N. Fehn, P. Munch, W. A. Wall, M. Kronbichler, Hybrid multigrid methods for high-order discontinuous Galerkin discretizations, Journal of Computational Physics, vol. 415, 109538, 2020. DOI

Peer-reviewed proceedings and book contributions

    2026

  1. T. L. Kaiser, P. Munch, S. May, T. Zirwes, Eigenvalue-based linear stability analysis of intrinsic instabilities in laminar flames, In: Proceedings of the Combustion Institute, vol. 42, article 106000, 2026. DOI

    2. 2024

  2. V. Ivannikov, P. Munch, M. Kronbichler, T. Ebel, Large-scale phase-field simulations of solid-state sintering of metallic powders, In: European Powder Metallurgy Association (EPMA) (ed.) Euro Powder Metallurgy 2023. Congress & Exhibition (Euro PM 2023), vol. 1, pp. 836-843, Curran Associates, New York, 2024. DOI

    3. 2022

  3. P. Munch, K. Ljungkvist, M. Kronbichler, Efficient application of hanging-node constraints for matrix-free high-order FEM computations on CPU and GPU, In: Varbanescu, A. L., Bhatele, A., Luszczek, P., Marc, B. (eds.) High Performance Computing. ISC High Performance 2022. Lecture Notes in Computer Science, vol. 13289, pp. 133-152, Springer, Cham, 2022. DOI

    4. 2021

  4. M. Kronbichler, N. Fehn, P. Munch, M. Bergbauer, K. R. Wichmann, C. Geitner, M. Allalen, M. Schulz, W. A. Wall, A next-generation discontinuous Galerkin fluid dynamics solver with application to high-resolution lung airflow simulations. In: SC '21: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, article 21, pp. 1–15, 2021. DOI

    5. 2020

  5. D. Arndt, N. Fehn, G. Kanschat, K. Kormann, M. Kronbichler, P. Munch, W. A. Wall, J. Witte, ExaDG: High-order discontinuous Galerkin for the exa-scale, In: H.-J. Bungartz, S. Reiz, B. Uekermann, P. Neumann, W. E. Nagel (eds.), Software for Exascsale Computing - SPPEXA 2016-2019, Lecture Notes in Computational Science and Engineering, vol 136. pp. 189-224, Springer, Cham, 2020. DOI

Book contributions

    2024

  1. V. Ivannikov, P. Munch, M. Kronbichler, C. Cyron, T. Ebel, M. Schreter-Fleischhacker, Large-scale phase-field simulations of solid-state sintering processes, In: Bastian, P., Kranzlmüller, D., Brüchle, H., Mathias, G. (eds.) High Performance Computing in Science and Engineering Garching/Munich 2024, pp. 74-75, Leibniz-Rechenzentrum der Bayerischen Akademie der Wissenschaften, Garching bei München, 2024. DOI

Technical reports

    2019

  1. M. Kronbichler, K. Kormann, N. Fehn, P. Munch, J. Witte, A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators, arXiv:1907.08492, 2019. PDF

News articles

    2025

  1. D. Arndt, W. Bangerth, B. Blais, M. Fehling, R. Gassmöller, T. Heister, L. Heltai, M. Kronbichler, M. Maier, P. Munch, B. Turcksin, D. Wells, Supporting computational science and engineering: the creation of widely used software in industrial and applied mathematics, SIAM News Blog, October 14, 2025. LINK

Talks

International conference contributions with abstract

    2026

  1. P. Munch, N. Margenberg, Multilevel preconditioners for space-time FEM with application to heat and Stokes equations, 17th World Congress on Computational Mechanics & 10th European Congress on Computational Methods in Applied Sciences and Engineering (WCCM-ECCOMAS 2026), Munich, Germany, July 19-24, 2026. Abstract

  2. V. Ivannikov, M. Kronbichler, P. Munch, C. Cyron, An efficient finite-element framework for large-scale phase-field simulations of many-particle solid-state sintering, 17th World Congress on Computational Mechanics & 10th European Congress on Computational Methods in Applied Sciences and Engineering (WCCM-ECCOMAS 2026), Munich, Germany, July 19-24, 2026. Abstract

  3. M. Schreter-Fleischhacker, N. Much, J. Brotz, A. Koch, P. Munch, M. Kronbichler, C. Meier, MeltPoolDG: a high-performance framework for mesoscale powder–liquid–gas modeling in metal additive manufacturing, 17th World Congress on Computational Mechanics & 10th European Congress on Computational Methods in Applied Sciences and Engineering (WCCM-ECCOMAS 2026), Munich, Germany, July 19-24, 2026. Abstract

  4. V. Ivannikov, P. Munch, C. Cyron, A coupled phase-field-mechanical framework for microstructural evolution in solid-state sintering, 17th World Congress on Computational Mechanics & 10th European Congress on Computational Methods in Applied Sciences and Engineering (WCCM-ECCOMAS 2026), Munich, Germany, July 19-24, 2026. Abstract

  5. B. Campos, P. Munch, V. Oliveira Ferreira, B. Blais, On the simulation of rotating devices using the mortar element method and a coupled continuous-discontinuous Galerkin formulation, 17th World Congress on Computational Mechanics & 10th European Congress on Computational Methods in Applied Sciences and Engineering (WCCM-ECCOMAS 2026), Munich, Germany, July 19-24, 2026. Abstract

  6. B. Campos, V. Oliveira Ferreira, P. Munch, B. Blais, Numerical simulation of rotor-stator devices using a sliding-mesh matrix-free computational fluid dynamics model, 4th International Process Intensification Conference (IPIC4), Montreal, Canada, June 21-25, 2026. Abstract

  7. P. Munch, A. Gillman, Construction and profiling of a fast direct solver for distributed finite-element computations, SIAM Conference on Parallel Processing for Scientific Computing (PP26), Berlin, Germany, March 3 - 6, 2026. Abstract, Slides

    8. 2025

  8. P. Munch, L. Prieto Saavedra, B. Blais, Efficient distributed matrix-free multigrid methods for a stabilized solver for the incompressible Navier-Stokes equations on locally refined meshes, European Conference on Numerical Mathematics and Advanced Applications 2025 (ENUMATH25), Heidelberg, Germany, September 1 - 5, 2025. Abstract, Slides

  9. M. Fehling, P. Munch, M. Kronbichler, W. Bangerth, Efficient solvers for hp-adaptive FEM computations, European Conference on Numerical Mathematics and Advanced Applications 2025 (ENUMATH25), Heidelberg, Germany, September 1 - 5, 2025. Abstract

  10. N. Margenberg, M. Bause, P. Munch, An hp multigrid approach for tensor-product space-time finite element discretizations of the Stokes equations, European Conference on Numerical Mathematics and Advanced Applications 2025 (ENUMATH25), Heidelberg, Germany, September 1 - 5, 2025. Abstract

  11. B. Blais, W. Bangert, R. Gassmöller, L. Heltai, T. Heister, M. Kronbichler, M. Maier, P. Munch, L. Prieto Saavedra, High-performance computing for complex simulations through the deal-II open source software, The Third Joint SIAM/CAIMS Annual Meetings (AN25), Montréal, Canada, July 28 - August 1, 2025. Abstract

  12. L. Prieto Saavedra, J. Archambault, N. Patience, P. Munch, B. Blais, Towards high-order spinning disk reactor simulations using a stabilized Navier-Stokes solver, The 15th International Conference on Spectral and High Order Methods (ICOSAHOM 2025), Montréal, Canada, July 13 - 18, 2025. Abstract

  13. R. Aligholipour, J. Söderström, Y. Yao, P. Munch, Unwinding simulated function stacks in gem5, gem5 Workshop at ISCA 2025, Tokyo, Japan, June 22, 2025. Abstract

  14. B. Blais, L. Prieto Saavedra, P. Munch, Towards a matrix-free high-order CFD-DEM framework for dense particle-laden flows, 12th International Conference on Multiphase flow (ICMF 2025), Toulouse, France, May 12-16, 2025. Abstract

  15. P. Munch, N. Margenberg, A space-time multigrid method for space-time finite-element discretizations, SIAM Conference on Computational Science and Engineering (CSE25), Fort Worth, Texas, USA, March 3-7, 2025. Abstract, Slides

    16. 2024

  16. L. Prieto Saavedra, P. Munch, B. Blais, Geometric multigrid methods for a matrix-free stabilized solver for the incompressible Navier-Stokes equations, 16th World Congress on Computational Mechanics (WCCM) / 4th Pan American Congress on Computational Mechanics (PANACM), Vancouver, British Columbia, Canada, July 21-26, 2024.

  17. S. D. Proell, P. Munch, M. Kronbichler, W. Wall, C. Meier, A highly efficient computational approach for fast scan-resolved simulations of metal additive manufacturing processes on the scale of real parts, 16th World Congress on Computational Mechanics (WCCM) / 4th Pan American Congress on Computational Mechanics (PANACM), Vancouver, British Columbia, Canada, July 21-26, 2024.

  18. L. Prieto Saavedra, P. Munch, B. Blais, A Matrix-Free Stabilized Solver for the Incompressible Navier-Stokes Equations, 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2024), Lisbon, Portugal, June 3-7, 2024. Abstract

  19. B. Blais, L. Prieto Saavedra, P. Munch, Investigation of the capabilities of matrix-free stablized implicit large-eddy simulation on canonical turbulent benchmarks, 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2024), Lisbon, Portugal, June 3-7, 2024. Abstract

  20. M. Bergbauer, P. Munch, M. Kronbichler, W. Wall, High-performance matrix-free operator evaluation for tensor-product elements with unstructured quadrature, 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2024), Lisbon, Portugal, June 3-7, 2024. Abstract

  21. M. Feder, L. Heltai, M. Kronbichler, P. Munch, Parallel and matrix-free implementation of the non-nested multigrid method, 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2024), Lisbon, Portugal, June 3-7, 2024. Abstract

  22. S. Proell, P. Munch, M. Kronbichler, W. Wall, C. Meier, A highly efficient computational approach for fast scan-resolved simulations of metal additive manufacturing processes on the scale of real parts, 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2024), Lisbon, Portugal, June 3-7, 2024. Abstract

  23. I. Dravins, K. Kormann, M. Kronbichler, M. Neytcheva, P. Munch, S. Serra-Capizzano, O. Axelsson, Block-preconditioning techniques for fully implicit Runge-Kutta methods, SIAM Conference on Applied Linear Algebra (LA24), 2024, Paris, France, May 13-17, 2024. Abstract

    24. 2023

  24. V. Ivannikov, P. Munch, M. Kronbichler, T. Ebel, Large-scale phase-field simulations of solid-state sintering of metallic powders, Euro Powder Metallurgy 2023, Lisbon, Portugal, October 1 - 4, 2023. Abstract

  25. P. Munch, M. Kronbichler, Optimizing multigrid smoothers for high-order matrix-free FEM computations, Chemnitz Finite Element Symposium 2023, Leibnitz, Austria, September 11 - 13, 2023. Abstract

  26. B. Z. Temür, N. Fehn, P. Munch, M Kronbichler, W. A. Wall, A matrix-free discontinuous Galerkin solver for unsteady Darcy flow in anisotropic porous media, 10th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry, Vienna, Austria, September 10-13, 2023. Abstract

  27. S. Proell, P. Munch, M. Kronbichler, W. A. Wall, C. Meier, A highly efficient computational model for fast scan-resolved simulations of metal additive manufacturing processes on the scale of real parts, 4th International Conference on Simulation for Additive Manufacturing (Sim-AM 2023), Munich, Germany, July 26 - 28, 2023. Abstract

  28. M. Schreter-Fleischhacker, N. Much, P. Munch, M. Kronbichler, W. A. Wall, C. Meier, Metal additive manufacturing melt pool modeling based on a novel FEM-based multi-physics model including melting and evaporation, 4th International Conference on Simulation for Additive Manufacturing (Sim-AM 2023), Munich, Germany, July 26 - 28, 2023. Abstract

  29. N. Much, M. Schreter, P. Munch, M. Kronbichler, W. A. Wall, C. Meier, Mathematically consistent representation of interface fluxes for finite-element-based melt pool modeling in metal additive manufacturing, 4th International Conference on Simulation for Additive Manufacturing (Sim-AM 2023), Munich, Germany, July 26 - 28, 2023. Abstract

  30. M. Schreter-Fleischhacker, N. Much, P. Munch, M. Kronbichler, W. A. Wall, C. Meier, A novel finite element formulation for thermal multi-phase flow including melting and evaporation with application to metal additive manufacturing melt pool modeling, GAMM: 93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, Dresden, Germany, May 30 - June 2, 2023. Abstract

  31. P. Munch, V. Ivannikov, M. Kronbichler, Application and tailoring of matrix-free algorithms to many-particle solid-state-sintering phase-field implementations, SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam, Netherlands, February 26 - March 3, 2023. Abstract

  32. M. Fehling, P. Munch, W. Bangerth, Global-coarsening multigrid for hp-adaptive finite element computations, SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam, Netherlands, February 26 - March 3, 2023. Abstract

    33. 2022

  33. N. Much, M. Schreter, P. Munch, M Kronbichler, W. A. Wall, C. Meier, A novel finite element formulation for thermal multi-phase flow including melting and evaporation: application to additive manufacturing melt pool modeling, 9th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry, Essen, Germany, September 21-23, 2022.

  34. N. Fehn, M. Kronbichler, P. Munch, W. A. Wall, On numerical evidence of anomalous energy dissipation, 14th European Fluid Mechanics Conference (EFMC14), Athens, Greece, September 13 - 16, 2022

  35. M. Kronbichler, P. Munch, I. Dravins, M. Neytcheva, Performance of stage-parallel implicit Runge-Kutta methods with fast multigrid methods, International Conference on Scientific Computation and Differential Equations (SciCADE) 2022, Reykjavik, Island, July 25-29, 2022

  36. M. Bergbauer, P. Munch, A. Massing, M. Kronbichler, W. A. Wall, Comparison of stabilization techniques for CutDG methods, 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2022), Oslo, Norway, June 5-9, 2022. Abstract

  37. I. Dravins, M. Neytcheva, O. Axelsson, P. Munch, M. Kronbichler, On stage-parallel preconditioning of implicit Runge-Kutta methods, Preconditioning 2022, International Conference on Preconditioning Techniques for Scientific and Industrial Applications, Chemnitz, Germany, June 8-10, 2022. Abstract

  38. P. Munch, T. Heister, L. Prieto Saavedra, M. Kronbichler, A comparative study of global coarsening and local smoothing multigrid methods on locally refined meshes for distributed matrix-free FEM computations, 17th Copper Mountain Conference on Iterative Methods, virtual, April 4-8, 2022. Abstract

    39. 2021

  39. M. Kronbichler, P. Munch, N. Fehn, Efficient multigrid solvers for high-order discontinuous Galerkin discretizations via matrix-free operator evaluation, 6th ECCOMAS Young Investigators Conference (YIC2021), Valencia, Spain, July 7-9, 2021. Abstract

    40. 2019

  40. P. Munch, N. Fehn, W. A. Wall, M. Kronbichler, SIMD vectorization for high-order matrix-free finite element computations in CFD, SIAM Conference on Computational Science and Engineering (CSE19), Spokane, Washington, USA, February 25 - March 1, 2019. Abstract

Presentations and invited talks

    2025

  1. P. Munch, deal.II: challenges and opportunities of developing an open-source FEM library, Swedish e-Science Academy 2025, Satellite: Common challenges in large-scale code development, Umeå, Sweden, October 15 - 16, 2025. Abstract, Slides

  2. P. Munch, A fast direct solver for finite-element computations, Numerical analysis - a workshop in honor of Gunilla Kreiss, Department of Information Technology, Uppsala University, Sweden, June 3, 2025.

  3. P. Munch, The deal.II FEM library: recent developments and applications, Seminar, Weierstraß-Institut, Berlin, Germany, May 15, 2025.

  4. P. Munch, Numerical simulation with the deal.II finite-element library, BIMoS Day, Institute of Mathematics, Technical University of Berlin, Germany, May 12, 2025.

    5. 2024

  5. P. Munch, Cut Galerkin difference methods and more, 11th deal.II Users and Developers Workshop, Fort Collins, Colorado, USA, August 12 - 16, 2024. PDF

  6. L. Prieto Saavedra, P. Munch, Bruno Blais, Breaking free from the matrix: a stabilized Navier-Stokes perspective using Lethe, 11th deal.II Users and Developers Workshop, Fort Collins, Colorado, USA, August 12 - 16, 2024. PDF

  7. P. Munch, Matrix-free finite-element computations and preconditioning, Applied Mathematics and Statistics, University of Gothenburg/Chalmers University of Technology, Gothenburg, Sweden, March 6, 2024.

    8. 2023

  8. P. Munch, Matrix-free finite-element computations at extreme scale and for challenging applications, Chair of Numerical Mathematics, Helmut Schmidt University, Hamburg, Germany, November 20, 2023.

  9. P. Munch, High-dimensional finite-element computations with deal.II and hyper.deal, Chair of Optimal Control, Technical University of Munich, Munich, Germany, March 30, 2023.

  10. P. Munch, Matrix-free finite-element computations in deal.II, IGTE - Institute of Fundamentals and Theory in Electrical Engineering, Graz University of Technology, Graz, Austria, March 20, 2023.

    11. 2021

  11. M. Kronbichler, P. Munch, Recent advances in matrix-free, multigrid, non-matching, and simplex support in deal.II., 9th deal.II Users and Developers Workshop, virtual one-day meeting, June 18, 2021. PDF

    12. 2020

  12. P. Munch, K. Kormann, M. Kronbichler, Solving the high-dimensional Vlasov equation with deal.II and hyper.deal, 8th deal.II Users and Developers Workshop, virtual one-day meeting, May 26, 2020. PDF, VIDEO

    13. 2019

  13. P. Munch, M. Allalen, M. Kronbichler, P. O. Conbhuı́, P. Kanduri, deal.II on GPU, final presentation at EuroHack19, Lugano, Switzerland, September 29 - October 4, 2019. PDF

  14. P. Munch, M. Kronbichler, Efficient, large-scale simulations on complex geometries - using a hybrid multigrid solver and a fully distributed triangulation, 7th deal.II Users and Developers Workshop, Fort Collins, Colorado, USA, August 6 - 9, 2019. PDF

Organized workshops with presentations

    2025

  1. P. Munch, deal.II workshop, Durham University, April 3-4, 2025, Slides

    2. 2021

  2. P. Munch, D. Paukner, I. Scheider, Virtual three-day deal.II workshop, Helmholtz Centre Hereon and Technical University of Hamburg, Germany, April 19-21, 2021. Day 1, Day 2, Day 3

  3. P. Munch, deal.II simplex workshop, virtual three-day workshop, January 13-15, 2021, PDF.

Posters

    2024

  1. P. Munch, (Matrix-Free) FEM for Challenging Applications, Workshop "Numerical Methods for PDEs and Their Applications", Institut Mittag-Leffler, Stockholm, Sweden, June 3-7, 2024.

Students

Supervised student projects

  1. Adaptive solver selection for nonlinear problems using deep learning, Master’s Thesis (Computer Simulation for Science and Engineering, Institute of Mathematics, TU Berlin), Ezra Cerpac, in progress 2026–, in cooperation with Prof. Sandra May and Prof. Alexander Heinlein

  2. Validation and extension of reduced-complexity models for flow simulations involving narrow gaps, Master’s Thesis (Scientific Computing, Institute of Mathematics, TU Berlin), Marzieh Goodarzi, in progress 2026–, in cooperation with Prof. Sandra May and Evelyn Sabella Rugerri, M.Sc.

  3. Subcell limiting of discontinuous Galerkin methods for the reactive Euler equations, Master’s Thesis (Institute of Mathematics, TU Berlin), Max Felix Schröder, 2026, in cooperation with Prof. Sandra May

  4. Numerical simulation of detonation using discontinuous Galerkin methods, Master’s Thesis (Scientific Computing, Institute of Mathematics, TU Berlin), Paul Felix Kneifel, 2026, in cooperation with Prof. Sandra May and Dr. Thomas Ludwig Kaiser

  5. Local adaptive mesh refinement for hyperbolic conservation laws, seminar paper (Institute of Mathematics, TU Berlin), Linus C. J. Kühl, 2025

  6. Immersed boundary method for melt-front propagation for finite-element-based melt-pool modeling in metal additive manufacturing, Term Paper (TUM School of Engineering and Design, TUM), Simon Völkl, 2023, in cooperation with Magdalena Schreter

  7. Analysis of surface tension in two-phase flows, Master's Thesis (Department of Mathematics, TUM), Judith Pauen, 2021, in cooperation with Magdalena Schreter and Martin Kronbichler

  8. Efficient shock-capturing approaches for matrix-free high-order discontinuous Galerkin methods, Master's Thesis (Department of Mechanical Engineering, TUM), David Schneider, 2020, in cooperation with Martin Kronbichler

  9. Massively parallel PDE solutions: coupling the sparse-grid combination technique with an efficient matrix-free finite element solver, Project (University of Stuttgart), Marius Goehring, 2021, in cooperation with Theresa Pollinger

  10. An efficient hybrid multigrid solver for adaptive meshes, Master's Thesis (Computational Science and Engineering, Department of Informatics, TUM), Laura Prieto Saavedra, 2020, in cooperation with Martin Kronbichler

  11. Cache-efficient enumeration of degrees of freedom for high-order FEM on modern CPU hardware, IDP (Interdisciplinary Project, Department of Informatics, TUM), Alex Roschlaub, 2019, in cooperation with Martin Kronbichler

  12. High-order discontinuous Galerkin simulations of Joukowsky and NACA airfoils, Bachelor's Thesis (Department of Mechanical Engineering, TUM), Elias Dejene, 2019

  13. Implementation and validation of a quasistatic elasticity FEM-solver, student project (Department of Mechanical Engineering, TUM), Daniel Dengler

  14. Performance analysis of high-order finite element algorithms, IDP (Interdisciplinary Project, Department of Informatics, TUM), Karlo Kraljic, 2019, in cooperation with Martin Kronbichler

  15. Numerical investigations on the efficiency of an in-house high-order discontinuous Galerkin flow solver compared to OpenFOAM, Master's Thesis (Department of Mechanical Engineering, TUM), Yingxian Wang, 2019, in cooperation with Niklas Fehn

Publications