A Novel Implementation of Hermite Finite Element Methods in the deal.II Library.

Martin Kronbichler 0002 Ruhr University Bochum, Germany Technical University of Munich, Germany Uppsala University, Sweden https://orcid.org/0000-0001-8406-835X https://www.wikidata.org/entity/Q60774074 https://www.scopus.com/authid/detail.uri?authorId=56998515600 https://d-nb.info/gnd/1231031263 https://zbmath.org/authors/?q=ai:kronbichler.martin Martin Kronbichler Martin Kronbichler 0001 Paracelsus Medical University, Salzburg, Austria https://orcid.org/0000-0003-2240-2812 https://www.wikidata.org/entity/Q42413784 https://www.researcherid.com/rid/A-5599-2008 https://www.scopus.com/authid/detail.uri?authorId=7801545096 https://d-nb.info/gnd/1132255570

Ivy Weber Martin Kronbichler 0002 Gunilla Kreiss A Novel Implementation of Hermite Finite Element Methods in the deal.II Library. 2026 March 7:1-7:31 52 ACM Trans. Math. Softw. 1 https://doi.org/10.1145/3797876 db/journals/toms/toms52.html#WeberKK26 streams/journals/toms

Peter Munch Marc Fehling Martin Kronbichler 0002 Nils Margenberg Laura Prieto Saavedra Solving the (Navier-)Stokes equations with space and time adaptivity using deal.II. 2026 March abs/2603.29621 CoRR https://doi.org/10.48550/arXiv.2603.29621 db/journals/corr/corr2603.html#abs-2603-29621 streams/journals/corr

Vivienne Ehlert Gregor Gassner Martin Kronbichler 0002 Hendrik Ranocha Michael Schlottke-Lakemper Multi-Solver Coupling for Parallel Adaptive Multi-Physics Simulations with Trixi.jl and deal.II. 2026 July abs/2607.25871 CoRR https://doi.org/10.48550/arXiv.2607.25871 db/journals/corr/corr2607.html#abs-2607-25871 streams/journals/corr

Daniel Arndt 0003 Wolfgang Bangerth Maximilian Bergbauer Bruno Blais Marc Fehling Rene Gassmöller Timo Heister Luca Heltai Martin Kronbichler 0002 Matthias Maier Peter Munch Sam Scheuerman Bruno Turcksin Siarhei Uzunbajakau David R. Wells Michal Wichrowski The deal.II library, version 9.7. 403- 2025 33 J. Num. Math. 4 https://doi.org/10.1515/jnma-2025-0115 db/journals/jnma/jnma33.html#ArndtBBBFGHHKMMSTUWW25 streams/journals/jnma

Michal Wichrowski Peter Munch Martin Kronbichler 0002 Guido Kanschat Smoothers with Localized Residual Computations for Geometric Multigrid Methods for Higher-Order Finite Elements. 645- 2025 47 SIAM J. Sci. Comput. 3 https://doi.org/10.1137/23m1625962 db/journals/siamsc/siamsc47.html#WichrowskiMKK25 streams/journals/siamsc

Maximilian Bergbauer Peter Munch Wolfgang A. Wall Martin Kronbichler 0002 High-Performance Matrix-Free Unfitted Finite Element Operator Evaluation. 665- 2025 47 SIAM J. Sci. Comput. 3 https://doi.org/10.1137/24m1653689 db/journals/siamsc/siamsc47.html#BergbauerMWK25 streams/journals/siamsc

Magdalena Schreter-Fleischhacker Nils Much Peter Munch Martin Kronbichler 0002 Wolfgang A. Wall Christoph Meier 0001 A consistent diffuse-interface finite element approach to rapid melt-vapor dynamics in metal additive manufacturing. 2025 January abs/2501.18781 CoRR https://doi.org/10.48550/arXiv.2501.18781 db/journals/corr/corr2501.html#abs-2501-18781 streams/journals/corr

Michal Wichrowski Mohsen Rezaee-Hajidehi Joze Korelc Martin Kronbichler 0002 Stanislaw Stupkiewicz Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead. 2025 May abs/2505.15535 CoRR https://doi.org/10.48550/arXiv.2505.15535 db/journals/corr/corr2505.html#abs-2505-15535 streams/journals/corr

Richard Schussnig Niklas Fehn Douglas R. Q. Pacheco Martin Kronbichler 0002 Higher-Oder Splitting Schemes for Fluids with Variable Viscosity. 2025 June abs/2506.14424 CoRR https://doi.org/10.48550/arXiv.2506.14424 db/journals/corr/corr2506.html#abs-2506-14424 streams/journals/corr

Jake Harmon Martin Kronbichler 0002 Matthias Maier Eric Tovar A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement. 2025 July abs/2507.18717 CoRR https://doi.org/10.48550/arXiv.2507.18717 db/journals/corr/corr2507.html#abs-2507-18717 streams/journals/corr

Dominik Still Niklas Fehn Wolfgang A. Wall Martin Kronbichler 0002 Matrix-Free Evaluation Strategies for Continuous and Discontinuous Galerkin Discretizations on Unstructured Tetrahedral Grids. 2025 September abs/2509.10226 CoRR https://doi.org/10.48550/arXiv.2509.10226 db/journals/corr/corr2509.html#abs-2509-10226 streams/journals/corr

Dominik Still Natalia Nebulishvili Richard Schussnig Katharina Kormann Martin Kronbichler 0002 A Discontinuous Galerkin Consistent Splitting Method for the Incompressible Navier-Stokes Equations. 2025 December abs/2512.05919 CoRR https://doi.org/10.48550/arXiv.2512.05919 db/journals/corr/corr2512.html#abs-2512-05919 streams/journals/corr

Nils Much Magdalena Schreter-Fleischhacker Peter Munch Martin Kronbichler 0002 Wolfgang A. Wall Christoph Meier 0001 Improved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations. 16 2024 December 11 Adv. Model. Simul. Eng. Sci. 1 https://doi.org/10.1186/s40323-024-00270-6 db/journals/amses/amses11.html#MuchSMKWM24 streams/journals/amses

Magdalena Schreter-Fleischhacker Peter Munch Nils Much Martin Kronbichler 0002 Wolfgang A. Wall Christoph Anton Meier A consistent diffuse-interface model for two-phase flow problems with rapid evaporation. 19 2024 December 11 Adv. Model. Simul. Eng. Sci. 1 https://doi.org/10.1186/s40323-024-00276-0 db/journals/amses/amses11.html#SchreterFleischhackerMM24 streams/journals/amses

Peter Munch Martin Kronbichler 0002 Cache-optimized and low-overhead implementations of additive Schwarz methods for high-order FEM multigrid computations. 192-209 2024 38 Int. J. High Perform. Comput. Appl. 3 https://doi.org/10.1177/10943420231217221 db/journals/ijhpca/ijhpca38.html#MunchK24

Pasquale Claudio Africa Daniel Arndt 0003 Wolfgang Bangerth Bruno Blais Marc Fehling Rene Gassmöller Timo Heister Luca Heltai Sebastian Kinnewig Martin Kronbichler 0002 Matthias Maier Peter Munch Magdalena Schreter-Fleischhacker Jan P. Thiele Bruno Turcksin David R. Wells Vladimir Yushutin The deal.II library, Version 9.6. 369- 2024 November 32 J. Num. Math. 4 https://doi.org/10.1515/jnma-2024-0137 db/journals/jnma/jnma32.html#AfricaABBFGHHKKMMSTTWY24 streams/journals/jnma

Peter Munch Ivo Dravins Martin Kronbichler 0002 Maya G. Neytcheva Stage-Parallel Fully Implicit Runge-Kutta Implementations with Optimal Multilevel Preconditioners at the Scaling Limit. S71-S96 2024 46 SIAM J. Sci. Comput. 2 https://doi.org/10.1137/22m1503270 db/journals/siamsc/siamsc46.html#MunchDKN24

Magdalena Schreter-Fleischhacker Peter Munch Nils Much Martin Kronbichler 0002 Wolfgang A. Wall Christoph Meier 0001 A consistent diffuse-interface model for two-phase flow problems with rapid evaporation. 2024 abs/2401.07805 CoRR https://doi.org/10.48550/arXiv.2401.07805 db/journals/corr/corr2401.html#abs-2401-07805

Nils Much Magdalena Schreter-Fleischhacker Peter Munch Martin Kronbichler 0002 Wolfgang A. Wall Christoph Meier 0001 Improved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations. 2024 abs/2401.12114 CoRR https://doi.org/10.48550/arXiv.2401.12114 db/journals/corr/corr2401.html#abs-2401-12114

Martin Kronbichler 0002 Matthias Maier Ignacio Tomas Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations, Part I: building blocks. 2024 abs/2402.04514 CoRR https://doi.org/10.48550/arXiv.2402.04514 db/journals/corr/corr2402.html#abs-2402-04514

Sebastian D. Proell Julian Brotz Martin Kronbichler 0002 Wolfgang A. Wall Christoph Meier 0001 A highly efficient computational approach for part-scale microstructure predictions in Ti-6Al-4V additive manufacturing. 2024 abs/2402.17580 CoRR https://doi.org/10.48550/arXiv.2402.17580 db/journals/corr/corr2402.html#abs-2402-17580

Maximilian Bergbauer Peter Munch Wolfgang A. Wall Martin Kronbichler 0002 High-performance matrix-free unfitted finite element operator evaluation. 2024 abs/2404.07911 CoRR https://doi.org/10.48550/arXiv.2404.07911 db/journals/corr/corr2404.html#abs-2404-07911

Michal Wichrowski Peter Munch Martin Kronbichler 0002 Guido Kanschat Smoothers with localized residual computations for geometric multigrid methods. 2024 abs/2407.02100 CoRR https://doi.org/10.48550/arXiv.2407.02100 db/journals/corr/corr2407.html#abs-2407-02100 streams/journals/corr

Richard Schussnig Niklas Fehn Peter Munch Martin Kronbichler 0002 Matrix-Free Higher-Order Finite Element Methods for Hyperelasticity. 2024 abs/2408.12479 CoRR https://doi.org/10.48550/arXiv.2408.12479 db/journals/corr/corr2408.html#abs-2408-12479 streams/journals/corr

Marco Feder Luca Heltai Martin Kronbichler 0002 Peter Munch Matrix-free implementation of the non-nested multigrid method. 2024 abs/2412.10910 CoRR https://doi.org/10.48550/arXiv.2412.10910 db/journals/corr/corr2412.html#abs-2412-10910 streams/journals/corr

Martin Kronbichler 0002 Dmytro Sashko Peter Munch Enhancing data locality of the conjugate gradient method for high-order matrix-free finite-element implementations. 61-81 2023 March 37 Int. J. High Perform. Comput. Appl. 2 https://doi.org/10.1177/10943420221107880 https://www.wikidata.org/entity/Q114063692 db/journals/ijhpca/ijhpca37.html#KronbichlerSM23

Daniel Arndt 0003 Wolfgang Bangerth Maximilian Bergbauer Marco Feder Marc Fehling Johannes Heinz Timo Heister Luca Heltai Martin Kronbichler 0002 Matthias Maier Peter Munch Jean-Paul Pelteret Bruno Turcksin David R. Wells Stefano Zampini The deal.II Library, Version 9.5. 231- 2023 September 31 J. Num. Math. 3 https://doi.org/10.1515/jnma-2023-0089 db/journals/jnma/jnma31.html#ArndtBBFFHHHKMMPTWZ23

Peter Munch Timo Heister Laura Prieto Saavedra Martin Kronbichler 0002 Efficient Distributed Matrix-free Multigrid Methods on Locally Refined Meshes for FEM Computations. 3:1-3:38 2023 March 10 ACM Trans. Parallel Comput. 1 https://doi.org/10.1145/3580314 https://www.wikidata.org/entity/Q130876611 db/journals/topc/topc10.html#MunchHSK23

Daniel Arndt 0003 Wolfgang Bangerth Marco Feder Marc Fehling Rene Gassmöller Timo Heister Luca Heltai Martin Kronbichler 0002 Matthias Maier Peter Munch Jean-Paul Pelteret Simon Sticko Bruno Turcksin David R. Wells The deal.II library, Version 9.4. 231-246 2022 30 J. Num. Math. 3 https://doi.org/10.1515/jnma-2022-0054 db/journals/jnma/jnma30.html#ArndtBFFGHHKMMP22

Peter Munch Karl Ljungkvist Martin Kronbichler 0002 Efficient Application of Hanging-Node Constraints for Matrix-Free High-Order FEM Computations on CPU and GPU. 133-152 2022 ISC High Performance https://doi.org/10.1007/978-3-031-07312-0_7 conf/supercomputer/2022 db/conf/supercomputer/isc2022.html#MunchLK22

Peter Munch Timo Heister Laura Prieto Saavedra Martin Kronbichler 0002 Efficient distributed matrix-free multigrid methods on locally refined meshes for FEM computations. 2022 abs/2203.12292 CoRR https://doi.org/10.48550/arXiv.2203.12292 db/journals/corr/corr2203.html#abs-2203-12292

Martin Kronbichler 0002 Dmytro Sashko Peter Munch Enhancing data locality of the conjugate gradient method for high-order matrix-free finite-element implementations. 2022 abs/2205.08909 CoRR https://doi.org/10.48550/arXiv.2205.08909 db/journals/corr/corr2205.html#abs-2205-08909

Peter Munch Ivo Dravins Martin Kronbichler 0002 Maya G. Neytcheva Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit. 2022 abs/2209.06700 CoRR https://doi.org/10.48550/arXiv.2209.06700 db/journals/corr/corr2209.html#abs-2209-06700

Daniel Arndt 0003 Wolfgang Bangerth Denis Davydov Timo Heister Luca Heltai Martin Kronbichler 0002 Matthias Maier Jean-Paul Pelteret Bruno Turcksin David R. Wells The deal.II finite element library: Design, features, and insights. 407-422 2021 81 Comput. Math. Appl. https://doi.org/10.1016/j.camwa.2020.02.022 db/journals/cma/cma81.html#ArndtBDHHKMPTW21

Karl-Robert Wichmann Martin Kronbichler 0002 Rainald Löhner Wolfgang A. Wall A runtime based comparison of highly tuned lattice Boltzmann and finite difference solvers. 2021 35 Int. J. High Perform. Comput. Appl. 4 https://doi.org/10.1177/10943420211006169 db/journals/ijhpca/ijhpca35.html#WichmannKLW21

Niklas Fehn Johannes Heinz Wolfgang A. Wall Martin Kronbichler 0002 High-order arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the incompressible Navier-Stokes equations. 110040 2021 430 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2020.110040 db/journals/jcphy/jcphy430.html#FehnHWK21

Daniel Arndt 0003 Wolfgang Bangerth Bruno Blais Marc Fehling Rene Gassmöller Timo Heister Luca Heltai Uwe Köcher Martin Kronbichler 0002 Matthias Maier Peter Munch Jean-Paul Pelteret Sebastian Proell Konrad Simon Bruno Turcksin David R. Wells Jiaqi Zhang The deal.II library, Version 9.3. 171-186 2021 29 J. Num. Math. 3 https://doi.org/10.1515/jnma-2021-0081 db/journals/jnma/jnma29.html#ArndtBBFGHHKKMM21

Thomas C. Clevenger Timo Heister Guido Kanschat Martin Kronbichler 0002 A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM. 7:1-7:27 2021 47 ACM Trans. Math. Softw. 1 https://doi.org/10.1145/3425193 https://www.wikidata.org/entity/Q113309899 db/journals/toms/toms47.html#ClevengerHKK21

Luca Heltai Wolfgang Bangerth Martin Kronbichler 0002 Andrea Mola Propagating Geometry Information to Finite Element Computations. 32:1-32:30 2021 47 ACM Trans. Math. Softw. 4 https://doi.org/10.1145/3468428 https://www.wikidata.org/entity/Q113309870 db/journals/toms/toms47.html#HeltaiBKM21

Peter Munch Katharina Kormann Martin Kronbichler 0002 hyper.deal: An Efficient, Matrix-free Finite-element Library for High-dimensional Partial Differential Equations. 33:1-33:34 2021 47 ACM Trans. Math. Softw. 4 https://doi.org/10.1145/3469720 https://www.wikidata.org/entity/Q113309869 db/journals/toms/toms47.html#MunchKK21

Matthias Maier Martin Kronbichler 0002 Efficient Parallel 3D Computation of the Compressible Euler Equations with an Invariant-domain Preserving Second-order Finite-element Scheme. 16:1-16:30 2021 8 ACM Trans. Parallel Comput. 3 https://doi.org/10.1145/3470637 https://www.wikidata.org/entity/Q114071170 db/journals/topc/topc8.html#MaierK21

Martin Kronbichler 0002 Niklas Fehn Peter Munch Maximilian Bergbauer Karl-Robert Wichmann Carolin Geitner Momme Allalen Martin Schulz 0001 Wolfgang A. Wall A next-generation discontinuous galerkin fluid dynamics solver with application to high-resolution lung airflow simulations. 21 2021 SC https://doi.org/10.1145/3458817.3476171 conf/sc/2021 db/conf/sc/sc2021.html#0002FMBWGASW21

Jean-Luc Guermond Martin Kronbichler 0002 Matthias Maier Bojan Popov Ignacio Tomas On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. 2021 abs/2106.02159 CoRR https://arxiv.org/abs/2106.02159 db/journals/corr/corr2106.html#abs-2106-02159

Paul F. Fischer Misun Min Thilina Rathnayake Som Dutta Tzanio V. Kolev Veselin Dobrev Jean-Sylvain Camier Martin Kronbichler 0002 Timothy C. Warburton Kasia Swirydowicz Jed Brown Scalability of high-performance PDE solvers. 2020 34 Int. J. High Perform. Comput. Appl. 5 https://doi.org/10.1177/1094342020915762 db/journals/ijhpca/ijhpca34.html#FischerMRDKDCKW20

Niklas Fehn Peter Munch Wolfgang A. Wall Martin Kronbichler 0002 Hybrid multigrid methods for high-order discontinuous Galerkin discretizations. 109538 2020 415 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2020.109538 db/journals/jcphy/jcphy415.html#FehnMWK20

Daniel Arndt 0003 Wolfgang Bangerth Bruno Blais Thomas C. Clevenger Marc Fehling Alexander V. Grayver Timo Heister Luca Heltai Martin Kronbichler 0002 Matthias Maier Peter Munch Jean-Paul Pelteret Reza Rastak Ignacio Tomas Bruno Turcksin Zhuoran Wang David R. Wells The deal.II library, Version 9.2. 131-146 2020 28 J. Num. Math. 3 https://doi.org/10.1515/jnma-2020-0043 https://www.wikidata.org/entity/Q115188616 db/journals/jnma/jnma28.html#ArndtBBCFGHHKMM20

Denis Davydov Martin Kronbichler 0002 Algorithms and Data Structures for Matrix-Free Finite Element Operators with MPI-Parallel Sparse Multi-Vectors. 20:1-20:30 2020 7 ACM Trans. Parallel Comput. 3 https://doi.org/10.1145/3399736 db/journals/topc/topc7.html#DavydovK20

Daniel Arndt 0003 Niklas Fehn Guido Kanschat Katharina Kormann Martin Kronbichler 0002 Peter Munch Wolfgang A. Wall Julius Witte ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale. 189-224 2020 Software for Exascale Computing https://doi.org/10.1007/978-3-030-47956-5_8 series/lncse/136 db/series/lncse/lncse136.html#0003FKK0MWW20

Peter Munch Katharina Kormann Martin Kronbichler 0002 hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations. 2020 abs/2002.08110 CoRR https://arxiv.org/abs/2002.08110 db/journals/corr/corr2002.html#abs-2002-08110

Paul F. Fischer Misun Min Thilina Rathnayake Som Dutta Tzanio V. Kolev Veselin Dobrev Jean-Sylvain Camier Martin Kronbichler 0002 Tim Warburton Kasia Swirydowicz Jed Brown Scalability of High-Performance PDE Solvers. 2020 abs/2004.06722 CoRR https://arxiv.org/abs/2004.06722 db/journals/corr/corr2004.html#abs-2004-06722

Matthias Maier Martin Kronbichler 0002 Massively parallel 3D computation of the compressible Euler equations with an invariant-domain preserving second-order finite-element scheme. 2020 abs/2007.00094 CoRR https://arxiv.org/abs/2007.00094 db/journals/corr/corr2007.html#abs-2007-00094

Andrea La Spina Martin Kronbichler 0002 Matteo Giacomini Wolfgang A. Wall Antonio Huerta A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems. 2020 abs/2009.05106 CoRR https://arxiv.org/abs/2009.05106 db/journals/corr/corr2009.html#abs-2009-05106

Karl-Robert Wichmann Martin Kronbichler 0002 Rainald Löhner Wolfgang A. Wall Practical applicability of optimizations and performance models to complex stencil-based loop kernels in CFD. 2019 33 Int. J. High Perform. Comput. Appl. 4 https://doi.org/10.1177/1094342018774126 db/journals/ijhpca/ijhpca33.html#WichmannKLW19

Daniel Arndt 0003 Wolfgang Bangerth Thomas C. Clevenger Denis Davydov Marc Fehling Daniel Garcia-Sanchez Graham Harper Timo Heister Luca Heltai Martin Kronbichler 0002 Ross Maguire Kynch Matthias Maier Jean-Paul Pelteret Bruno Turcksin David R. Wells The deal.II library, Version 9.1. 203-213 2019 27 J. Num. Math. 4 https://doi.org/10.1515/jnma-2019-0064 db/journals/jnma/jnma27.html#ArndtBCDFGHHHKK19

Svenja Schoeder Wolfgang A. Wall Martin Kronbichler 0002 ExWave: A high performance discontinuous Galerkin solver for the acoustic wave equation. 49-54 2019 9 SoftwareX https://doi.org/10.1016/j.softx.2019.01.001 https://www.wikidata.org/entity/Q128610053 db/journals/softx/softx9.html#SchoederWK19

Martin Kronbichler 0002 Katharina Kormann Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators. 29:1-29:40 2019 45 ACM Trans. Math. Softw. 3 https://doi.org/10.1145/3325864 https://www.wikidata.org/entity/Q113310000 db/journals/toms/toms45.html#KronbichlerK19

Martin Kronbichler 0002 Karl Ljungkvist Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors. 2:1-2:32 2019 6 ACM Trans. Parallel Comput. 1 https://doi.org/10.1145/3322813 https://www.wikidata.org/entity/Q127937433 db/journals/topc/topc6.html#KronbichlerL19

Thomas C. Clevenger Timo Heister Guido Kanschat Martin Kronbichler 0002 A Flexible, Parallel, Adaptive Geometric Multigrid method for FEM. 2019 abs/1904.03317 CoRR http://arxiv.org/abs/1904.03317 db/journals/corr/corr1904.html#abs-1904-03317

Luca Berardocco Martin Kronbichler 0002 Volker Gravemeier A hybridizable discontinuous Galerkin method for electromagnetics with a view on subsurface applications. 2019 abs/1904.10257 CoRR http://arxiv.org/abs/1904.10257 db/journals/corr/corr1904.html#abs-1904-10257

Denis Davydov Martin Kronbichler 0002 Algorithms and data structures for matrix-free finite element operators with MPI-parallel sparse multi-vectors. 2019 abs/1907.01005 CoRR http://arxiv.org/abs/1907.01005 db/journals/corr/corr1907.html#abs-1907-01005

Martin Kronbichler 0002 Katharina Kormann Niklas Fehn Peter Munch Julius Witte A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators. 2019 abs/1907.08492 CoRR http://arxiv.org/abs/1907.08492 db/journals/corr/corr1907.html#abs-1907-08492

Niklas Fehn Peter Munch Wolfgang A. Wall Martin Kronbichler 0002 Hybrid multigrid methods for high-order discontinuous Galerkin discretizations. 2019 abs/1910.01900 CoRR http://arxiv.org/abs/1910.01900 db/journals/corr/corr1910.html#abs-1910-01900

Luca Heltai Wolfgang Bangerth Martin Kronbichler 0002 Andrea Mola Using exact geometry information in finite element computations. 2019 abs/1910.09824 CoRR http://arxiv.org/abs/1910.09824 db/journals/corr/corr1910.html#abs-1910-09824

Daniel Arndt 0003 Wolfgang Bangerth Denis Davydov Timo Heister Luca Heltai Martin Kronbichler 0002 Matthias Maier Jean-Paul Pelteret Bruno Turcksin David R. Wells The deal.II finite element library. 2019 abs/1910.13247 CoRR http://arxiv.org/abs/1910.13247 db/journals/corr/corr1910.html#abs-1910-13247

Martin Kronbichler 0002 Ababacar Diagne Hanna Holmgren A fast massively parallel two-phase flow solver for microfluidic chip simulation. 266-287 2018 32 Int. J. High Perform. Comput. Appl. 2 https://doi.org/10.1177/1094342016671790 db/journals/ijhpca/ijhpca32.html#KronbichlerDH18

Niklas Fehn Wolfgang A. Wall Martin Kronbichler 0002 Robust and efficient discontinuous Galerkin methods for under-resolved turbulent incompressible flows. 667-693 2018 372 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2018.06.037 https://www.wikidata.org/entity/Q129626902 db/journals/jcphy/jcphy372.html#FehnWK18

Giovanni Alzetta Daniel Arndt 0003 Wolfgang Bangerth Vishal Boddu Benjamin Brands Denis Davydov Rene Gassmöller Timo Heister Luca Heltai Katharina Kormann Martin Kronbichler 0002 Matthias Maier Jean-Paul Pelteret Bruno Turcksin David R. Wells The deal.II library, Version 9.0. 173-183 2018 26 J. Num. Math. 4 https://doi.org/10.1515/jnma-2018-0054 db/journals/jnma/jnma26.html#AlzettaABBBDGHH18

Svenja Schoeder Martin Kronbichler 0002 Wolfgang A. Wall Arbitrary High-Order Explicit Hybridizable Discontinuous Galerkin Methods for the Acoustic Wave Equation. 969-1006 2018 76 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-018-0649-2 db/journals/jscic/jscic76.html#SchoederKW18

Martin Kronbichler 0002 Wolfgang A. Wall A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers. A3423-A3448 2018 40 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/16M110455X https://www.wikidata.org/entity/Q129099881 db/journals/siamsc/siamsc40.html#KronbichlerW18

Svenja Schoeder Katharina Kormann Wolfgang A. Wall Martin Kronbichler 0002 Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves. C803-C826 2018 40 SIAM J. Sci. Comput. 6 https://doi.org/10.1137/18M1185399 https://www.wikidata.org/entity/Q128702529 db/journals/siamsc/siamsc40.html#SchoederKWK18

Martin Kronbichler 0002 Momme Allalen Efficient High-Order Discontinuous Galerkin Finite Elements with Matrix-Free Implementations. 89-110 2018 Advances and New Trends in Environmental Informatics https://doi.org/10.1007/978-3-319-99654-7_7 books/sp/BKWWW2018 db/books/collections/BKWWW2018.html#0002A18

Svenja Schoeder Katharina Kormann Wolfgang A. Wall Martin Kronbichler 0002 Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves. 2018 abs/1805.03981 CoRR http://arxiv.org/abs/1805.03981 db/journals/corr/corr1805.html#abs-1805-03981

Benjamin Krank Niklas Fehn Wolfgang A. Wall Martin Kronbichler 0002 A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow. 634-659 2017 348 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2017.07.039 https://www.wikidata.org/entity/Q123202016 db/journals/jcphy/jcphy348.html#KrankFWK17

Niklas Fehn Wolfgang A. Wall Martin Kronbichler 0002 On the stability of projection methods for the incompressible Navier-Stokes equations based on high-order discontinuous Galerkin discretizations. 392-421 2017 351 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2017.09.031 db/journals/jcphy/jcphy351.html#FehnWK17

Daniel Arndt 0003 Wolfgang Bangerth Denis Davydov Timo Heister Luca Heltai Martin Kronbichler 0002 Matthias Maier Jean-Paul Pelteret Bruno Turcksin David R. Wells The deal.II library, version 8.5. 137-145 2017 25 J. Num. Math. 3 https://doi.org/10.1515/jnma-2017-0058 db/journals/jnma/jnma25.html#ArndtBDHHKMPTW17

Ceren Gürkan Martin Kronbichler 0002 Sonia Fernández-Méndez eXtended Hybridizable Discontinuous Galerkin with Heaviside Enrichment for Heat Bimaterial Problems. 542-567 2017 72 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-017-0370-6 db/journals/jscic/jscic72.html#GurkanKF17

Martin Kronbichler 0002 Katharina Kormann Igor Pasichnyk Momme Allalen Fast Matrix-Free Discontinuous Galerkin Kernels on Modern Computer Architectures. 237-255 2017 ISC High Performance https://doi.org/10.1007/978-3-319-58667-0_13 conf/supercomputer/2017 db/conf/supercomputer/isc2017.html#KronbichlerKPA17

Martin Kronbichler 0002 Katharina Kormann Fast matrix-free evaluation of discontinuous Galerkin finite element operators. 2017 abs/1711.03590 CoRR http://arxiv.org/abs/1711.03590 db/journals/corr/corr1711.html#abs-1711-03590

Wolfgang Bangerth Denis Davydov Timo Heister Luca Heltai Guido Kanschat Martin Kronbichler 0002 Matthias Maier Bruno Turcksin David R. Wells The deal.II Library, Version 8.4. 135-141 2016 24 J. Num. Math. 3 https://doi.org/10.1515/jnma-2016-1045 db/journals/jnma/jnma24.html#BangerthDHHKKMT16

Ceren Gürkan Esther Sala-Lardies Martin Kronbichler 0002 Sonia Fernández-Méndez eXtended Hybridizable Discontinous Galerkin (X-HDG) for Void Problems. 1313-1333 2016 66 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-015-0066-8 db/journals/jscic/jscic66.html#GurkanSKF16

Bruno Turcksin Martin Kronbichler 0002 Wolfgang Bangerth <i>WorkStream</i> - A Design Pattern for Multicore-Enabled Finite Element Computations. 2:1-2:29 2016 43 ACM Trans. Math. Softw. 1 https://doi.org/10.1145/2851488 db/journals/toms/toms43.html#TurcksinKB16

Owe Axelsson Petia T. Boyanova Martin Kronbichler 0002 Maya G. Neytcheva X. Wu Numerical and computational efficiency of solvers for two-phase problems. 301-314 2013 65 Comput. Math. Appl. 3 https://doi.org/10.1016/j.camwa.2012.05.020 db/journals/cma/cma65.html#AxelssonBKNW13

Wolfgang Bangerth Timo Heister Luca Heltai Guido Kanschat Martin Kronbichler 0002 Matthias Maier Bruno Turcksin Toby D. Young The deal.II Library, Version 8.1. 2013 abs/1312.2266 CoRR http://arxiv.org/abs/1312.2266 db/journals/corr/corr1312.html#BangerthHHKKMTY13

Katharina Kormann Martin Kronbichler 0002 Bernhard Müller Derivation of Strictly Stable High Order Difference Approximations for Variable-Coefficient PDE. 167-197 2012 50 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-011-9479-1 db/journals/jscic/jscic50.html#KormannKM12

Martin Kronbichler 0002 Computational Techniques for Coupled Flow-Transport Problems. Uppsala University, Sweden 2011 https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-162215

Wolfgang Bangerth Carsten Burstedde Timo Heister Martin Kronbichler 0002 Algorithms and data structures for massively parallel generic adaptive finite element codes. 14:1-14:28 2011 38 ACM Trans. Math. Softw. 2 https://doi.org/10.1145/2049673.2049678 https://www.wikidata.org/entity/Q60708786 db/journals/toms/toms38.html#BangerthBHK11

Katharina Kormann Martin Kronbichler 0002 Parallel Finite Element Operator Application: Graph Partitioning and Coloring. 332-339 2011 eScience https://doi.org/10.1109/eScience.2011.53 https://doi.ieeecomputersociety.org/10.1109/eScience.2011.53 conf/eScience/2011 db/conf/eScience/eScience2011.html#KormannK11 Timo Heister Martin Kronbichler 0002 Wolfgang Bangerth Massively Parallel Finite Element Programming. 122-131 2010 EuroMPI https://doi.org/10.1007/978-3-642-15646-5_13 https://www.wikidata.org/entity/Q60708792 conf/pvm/2010 db/conf/pvm/eurompi2010.html#HeisterKB10 Pasquale Claudio Africa Momme Allalen Giovanni Alzetta Daniel Arndt 0003 Owe Axelsson Wolfgang Bangerth Luca Berardocco Maximilian Bergbauer Bruno Blais Vishal Boddu Petia T. Boyanova Benjamin Brands Julian Brotz Jed Brown Carsten Burstedde Sylvain CamierJean-Sylvain Camier Thomas C. Clevenger Denis Davydov Ababacar Diagne Veselin Dobrev Ivo Dravins Som Dutta Vivienne Ehlert Marco Feder Marc Fehling Niklas Fehn Sonia Fernández-Méndez Paul F. Fischer Daniel Garcia-Sanchez Rene Gassmöller Gregor Gassner Carolin Geitner Matteo Giacomini Volker Gravemeier Alexander V. Grayver Jean-Luc Guermond Ceren Gürkan Jake Harmon Graham Harper Johannes Heinz Timo Heister Luca Heltai Hanna Holmgren Antonio Huerta Guido Kanschat Sebastian Kinnewig Uwe Köcher Tzanio V. Kolev Joze Korelc Katharina Kormann Benjamin Krank Gunilla Kreiss Ross Maguire Kynch Karl Ljungkvist Rainald Löhner Matthias Maier Nils Margenberg Christoph Meier 0001Christoph Anton Meier Misun Min Andrea Mola Nils Much Bernhard Müller Peter Munch Natalia Nebulishvili Maya G. Neytcheva Douglas R. Q. Pacheco Igor Pasichnyk Jean-Paul Pelteret Bojan Popov Sebastian Proell Sebastian D. Proell Hendrik Ranocha Reza Rastak Thilina RatnayakaThilina Rathnayake Mohsen Rezaee-Hajidehi Laura Prieto Saavedra Esther Sala-Lardies Dmytro Sashko Sam Scheuerman Michael Schlottke-Lakemper Svenja Schoeder Magdalena Schreter-Fleischhacker Martin Schulz 0001 Richard Schussnig Konrad Simon Andrea La Spina Simon Sticko Dominik Still Stanislaw Stupkiewicz Katarzyna SwirydowiczKasia Swirydowicz Jan Philipp ThieleJan P. Thiele Ignacio Tomas Eric Tovar Bruno Turcksin Siarhei Uzunbajakau Wolfgang A. Wall Zhuoran Wang Timothy C. WarburtonTim Warburton Ivy Weber David R. Wells Karl-Robert Wichmann Michal Wichrowski Julius Witte X. Wu Toby D. Young Vladimir Yushutin Stefano Zampini Jiaqi Zhang