Massively Parallel Finite Element Programming. - Timo Heister; Martin Kronbichler 002; Wolfgang Bangerth (EuroMPI, 2010)

Parallel Finite Element Operator Application: Graph Partitioning and Coloring. - Katharina Kormann; Martin Kronbichler 002 (eScience, 2011)

Algorithms and data structures for massively parallel generic adaptive finite element codes. - Wolfgang Bangerth; Carsten Burstedde; Timo Heister; Martin Kronbichler 002 (ACM Trans. Math. Softw., 2011)

Computational Techniques for Coupled Flow-Transport Problems. - Martin Kronbichler 002 (2011)

Derivation of Strictly Stable High Order Difference Approximations for Variable-Coefficient PDE. - Katharina Kormann; Martin Kronbichler 002; Bernhard Müller (J. Sci. Comput., 2012)

Numerical and computational efficiency of solvers for two-phase problems. - Owe Axelsson; Petia T. Boyanova; Martin Kronbichler 002; Maya G. Neytcheva; X. Wu (Comput. Math. Appl., 2013)

The deal.II Library, Version 8.1. - Wolfgang Bangerth; Timo Heister; Luca Heltai; Guido Kanschat; Martin Kronbichler 002; Matthias Maier; Bruno Turcksin; Toby D. Young (CoRR, 2013)

The deal.II Library, Version 8.4. - Wolfgang Bangerth; Denis Davydov; Timo Heister; Luca Heltai; Guido Kanschat; Martin Kronbichler 002; Matthias Maier; Bruno Turcksin; David R. Wells (J. Num. Math., 2016)

eXtended Hybridizable Discontinous Galerkin (X-HDG) for Void Problems. - Ceren Gürkan; Esther Sala-Lardies; Martin Kronbichler 002; Sonia Fernández-Méndez (J. Sci. Comput., 2016)

WorkStream - A Design Pattern for Multicore-Enabled Finite Element Computations. - Bruno Turcksin; Martin Kronbichler 002; Wolfgang Bangerth (ACM Trans. Math. Softw., 2016)

Fast Matrix-Free Discontinuous Galerkin Kernels on Modern Computer Architectures. - Martin Kronbichler 002; Katharina Kormann; Igor Pasichnyk; Momme Allalen (ISC, 2017)

On the stability of projection methods for the incompressible Navier-Stokes equations based on high-order discontinuous Galerkin discretizations. - Niklas Fehn; Wolfgang A. Wall; Martin Kronbichler 002 (J. Comput. Phys., 2017)

A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow. - Benjamin Krank; Niklas Fehn; Wolfgang A. Wall; Martin Kronbichler 002 (J. Comput. Phys., 2017)

The deal.II library, version 8.5. - Daniel Arndt 003; Wolfgang Bangerth; Denis Davydov; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Jean-Paul Pelteret; Bruno Turcksin; David R. Wells (J. Num. Math., 2017)

eXtended Hybridizable Discontinuous Galerkin with Heaviside Enrichment for Heat Bimaterial Problems. - Ceren Gürkan; Martin Kronbichler 002; Sonia Fernández-Méndez (J. Sci. Comput., 2017)

Efficient High-Order Discontinuous Galerkin Finite Elements with Matrix-Free Implementations. - Martin Kronbichler 002; Momme Allalen (Advances and New Trends in Environmental Informatics, 2018)

A fast massively parallel two-phase flow solver for microfluidic chip simulation. - Martin Kronbichler 002; Ababacar Diagne; Hanna Holmgren (Int. J. High Perform. Comput. Appl., 2018)

Robust and efficient discontinuous Galerkin methods for under-resolved turbulent incompressible flows. - Niklas Fehn; Wolfgang A. Wall; Martin Kronbichler 002 (J. Comput. Phys., 2018)

The deal.II library, Version 9.0. - Giovanni Alzetta; Daniel Arndt 003; Wolfgang Bangerth; Vishal Boddu; Benjamin Brands; Denis Davydov; Rene Gassmöller; Timo Heister; Luca Heltai; Katharina Kormann; Martin Kronbichler 002; Matthias Maier; et al. (J. Num. Math., 2018)

Arbitrary High-Order Explicit Hybridizable Discontinuous Galerkin Methods for the Acoustic Wave Equation. - Svenja Schoeder; Martin Kronbichler 002; Wolfgang A. Wall (J. Sci. Comput., 2018)

A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers. - Martin Kronbichler 002; Wolfgang A. Wall (SIAM J. Sci. Comput., 2018)

Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves. - Svenja Schoeder; Katharina Kormann; Wolfgang A. Wall; Martin Kronbichler 002 (SIAM J. Sci. Comput., 2018)

A hybridizable discontinuous Galerkin method for electromagnetics with a view on subsurface applications. - Luca Berardocco; Martin Kronbichler 002; Volker Gravemeier (CoRR, 2019)

A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators. - Martin Kronbichler 002; Katharina Kormann; Niklas Fehn; Peter Munch; Julius Witte (CoRR, 2019)

Using exact geometry information in finite element computations. - Luca Heltai; Wolfgang Bangerth; Martin Kronbichler 002; Andrea Mola (CoRR, 2019)

The deal.II finite element library. - Daniel Arndt 003; Wolfgang Bangerth; Denis Davydov; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Jean-Paul Pelteret; Bruno Turcksin; David R. Wells (CoRR, 2019)

Practical applicability of optimizations and performance models to complex stencil-based loop kernels in CFD. - Karl-Robert Wichmann; Martin Kronbichler 002; Rainald Löhner; Wolfgang A. Wall (Int. J. High Perform. Comput. Appl., 2019)

The deal.II library, Version 9.1. - Daniel Arndt 003; Wolfgang Bangerth; Thomas C. Clevenger; Denis Davydov; Marc Fehling; Daniel Garcia-Sanchez; Graham Harper; Timo Heister; Luca Heltai; Martin Kronbichler 002; Ross Maguire Kynch; Matthias Maier; et al. (J. Num. Math., 2019)

ExWave: A high performance discontinuous Galerkin solver for the acoustic wave equation. - Svenja Schoeder; Wolfgang A. Wall; Martin Kronbichler 002 (SoftwareX, 2019)

Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators. - Martin Kronbichler 002; Katharina Kormann (ACM Trans. Math. Softw., 2019)

Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors. - Martin Kronbichler 002; Karl Ljungkvist (ACM Trans. Parallel Comput., 2019)

Massively parallel 3D computation of the compressible Euler equations with an invariant-domain preserving second-order finite-element scheme. - Matthias Maier; Martin Kronbichler 002 (CoRR, 2020)

A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems. - Andrea La Spina; Martin Kronbichler 002; Matteo Giacomini; Wolfgang A. Wall; Antonio Huerta (CoRR, 2020)

Scalability of high-performance PDE solvers. - Paul F. Fischer; Misun Min; Thilina Rathnayake; Som Dutta; Tzanio V. Kolev; Veselin Dobrev; Jean-Sylvain Camier; Martin Kronbichler 002; Timothy C. Warburton; Kasia Swirydowicz; Jed Brown (Int. J. High Perform. Comput. Appl., 2020)

Hybrid multigrid methods for high-order discontinuous Galerkin discretizations. - Niklas Fehn; Peter Munch; Wolfgang A. Wall; Martin Kronbichler 002 (J. Comput. Phys., 2020)

The deal.II library, Version 9.2. - Daniel Arndt 003; Wolfgang Bangerth; Bruno Blais; Thomas C. Clevenger; Marc Fehling; Alexander V. Grayver; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Peter Munch; Jean-Paul Pelteret; et al. (J. Num. Math., 2020)

Algorithms and Data Structures for Matrix-Free Finite Element Operators with MPI-Parallel Sparse Multi-Vectors. - Denis Davydov; Martin Kronbichler 002 (ACM Trans. Parallel Comput., 2020)

ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale. - Daniel Arndt 003; Niklas Fehn; Guido Kanschat; Katharina Kormann; Martin Kronbichler 002; Peter Munch; Wolfgang A. Wall; Julius Witte (Software for Exascale Computing, 2020)

A next-generation discontinuous galerkin fluid dynamics solver with application to high-resolution lung airflow simulations. - Martin Kronbichler 002; Niklas Fehn; Peter Munch; Maximilian Bergbauer; Karl-Robert Wichmann; Carolin Geitner; Momme Allalen; Martin Schulz 001; Wolfgang A. Wall (SC, 2021)

The deal.II finite element library: Design, features, and insights. - Daniel Arndt 003; Wolfgang Bangerth; Denis Davydov; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Jean-Paul Pelteret; Bruno Turcksin; David R. Wells (Comput. Math. Appl., 2021)

On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. - Jean-Luc Guermond; Martin Kronbichler 002; Matthias Maier; Bojan Popov; Ignacio Tomas (CoRR, 2021)

A runtime based comparison of highly tuned lattice Boltzmann and finite difference solvers. - Karl-Robert Wichmann; Martin Kronbichler 002; Rainald Löhner; Wolfgang A. Wall (Int. J. High Perform. Comput. Appl., 2021)

High-order arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the incompressible Navier-Stokes equations. - Niklas Fehn; Johannes Heinz; Wolfgang A. Wall; Martin Kronbichler 002 (J. Comput. Phys., 2021)

The deal.II library, Version 9.3. - Daniel Arndt 003; Wolfgang Bangerth; Bruno Blais; Marc Fehling; Rene Gassmöller; Timo Heister; Luca Heltai; Uwe Köcher; Martin Kronbichler 002; Matthias Maier; Peter Munch; Jean-Paul Pelteret; et al. (J. Num. Math., 2021)

A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM. - Thomas C. Clevenger; Timo Heister; Guido Kanschat; Martin Kronbichler 002 (ACM Trans. Math. Softw., 2021)

Propagating Geometry Information to Finite Element Computations. - Luca Heltai; Wolfgang Bangerth; Martin Kronbichler 002; Andrea Mola (ACM Trans. Math. Softw., 2021)

hyper.deal: An Efficient, Matrix-free Finite-element Library for High-dimensional Partial Differential Equations. - Peter Munch; Katharina Kormann; Martin Kronbichler 002 (ACM Trans. Math. Softw., 2021)

Efficient Parallel 3D Computation of the Compressible Euler Equations with an Invariant-domain Preserving Second-order Finite-element Scheme. - Matthias Maier; Martin Kronbichler 002 (ACM Trans. Parallel Comput., 2021)

Efficient Application of Hanging-Node Constraints for Matrix-Free High-Order FEM Computations on CPU and GPU. - Peter Munch; Karl Ljungkvist; Martin Kronbichler 002 (ISC, 2022)

The deal.II library, Version 9.4. - Daniel Arndt 003; Wolfgang Bangerth; Marco Feder; Marc Fehling; Rene Gassmöller; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Peter Munch; Jean-Paul Pelteret; Simon Sticko; et al. (J. Num. Math., 2022)

Enhancing data locality of the conjugate gradient method for high-order matrix-free finite-element implementations. - Martin Kronbichler 002; Dmytro Sashko; Peter Munch (Int. J. High Perform. Comput. Appl., 2023)

Efficient Distributed Matrix-free Multigrid Methods on Locally Refined Meshes for FEM Computations. - Peter Munch; Timo Heister; Laura Prieto Saavedra; Martin Kronbichler 002 (ACM Trans. Parallel Comput., 2023)

The deal.II Library, Version 9.5. - Daniel Arndt 003; Wolfgang Bangerth; Maximilian Bergbauer; Marco Feder; Marc Fehling; Johannes Heinz; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Peter Munch; Jean-Paul Pelteret; et al. (J. Num. Math., 2023)

Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations, Part I: building blocks. - Martin Kronbichler 002; Matthias Maier; Ignacio Tomas (CoRR, 2024)

A highly efficient computational approach for part-scale microstructure predictions in Ti-6Al-4V additive manufacturing. - Sebastian D. Proell; Julian Brotz; Martin Kronbichler 002; Wolfgang A. Wall; Christoph Meier 001 (CoRR, 2024)

Smoothers with localized residual computations for geometric multigrid methods. - Michal Wichrowski; Peter Munch; Martin Kronbichler 002; Guido Kanschat (CoRR, 2024)

Matrix-Free Higher-Order Finite Element Methods for Hyperelasticity. - Richard Schussnig; Niklas Fehn; Peter Munch; Martin Kronbichler 002 (CoRR, 2024)

Matrix-free implementation of the non-nested multigrid method. - Marco Feder; Luca Heltai; Martin Kronbichler 002; Peter Munch (CoRR, 2024)

Cache-optimized and low-overhead implementations of additive Schwarz methods for high-order FEM multigrid computations. - Peter Munch; Martin Kronbichler 002 (Int. J. High Perform. Comput. Appl., 2024)

Stage-Parallel Fully Implicit Runge-Kutta Implementations with Optimal Multilevel Preconditioners at the Scaling Limit. - Peter Munch; Ivo Dravins; Martin Kronbichler 002; Maya G. Neytcheva (SIAM J. Sci. Comput., 2024)

The deal.II library, Version 9.6. - Pasquale Claudio Africa; Daniel Arndt 003; Wolfgang Bangerth; Bruno Blais; Marc Fehling; Rene Gassmöller; Timo Heister; Luca Heltai; Sebastian Kinnewig; Martin Kronbichler 002; Matthias Maier; Peter Munch; et al. (J. Num. Math., 2024)

Improved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations. - Nils Much; Magdalena Schreter-Fleischhacker; Peter Munch; Martin Kronbichler 002; Wolfgang A. Wall; Christoph Meier 001 (Adv. Model. Simul. Eng. Sci., 2024)

A consistent diffuse-interface model for two-phase flow problems with rapid evaporation. - Magdalena Schreter-Fleischhacker; Peter Munch; Nils Much; Martin Kronbichler 002; Wolfgang A. Wall; Christoph Anton Meier (Adv. Model. Simul. Eng. Sci., 2024)

High-Performance Matrix-Free Unfitted Finite Element Operator Evaluation. - Maximilian Bergbauer; Peter Munch; Wolfgang A. Wall; Martin Kronbichler 002 (SIAM J. Sci. Comput., 2025)

Smoothers with Localized Residual Computations for Geometric Multigrid Methods for Higher-Order Finite Elements. - Michal Wichrowski; Peter Munch; Martin Kronbichler 002; Guido Kanschat (SIAM J. Sci. Comput., 2025)

A consistent diffuse-interface finite element approach to rapid melt-vapor dynamics in metal additive manufacturing. - Magdalena Schreter-Fleischhacker; Nils Much; Peter Munch; Martin Kronbichler 002; Wolfgang A. Wall; Christoph Meier 001 (CoRR, 2025)

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead. - Michal Wichrowski; Mohsen Rezaee-Hajidehi; Joze Korelc; Martin Kronbichler 002; Stanislaw Stupkiewicz (CoRR, 2025)

Higher-Oder Splitting Schemes for Fluids with Variable Viscosity. - Richard Schussnig; Niklas Fehn; Douglas R. Q. Pacheco; Martin Kronbichler 002 (CoRR, 2025)

A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement. - Jake Harmon; Martin Kronbichler 002; Matthias Maier; Eric Tovar (CoRR, 2025)