A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE. - Peter Bastian; Markus Blatt; Andreas Dedner; Christian Engwer; Robert Klöfkorn; Ralf Kornhuber; Mario Ohlberger; Oliver Sander (Computing, 2008)

A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework. - Peter Bastian; Markus Blatt; Andreas Dedner; Christian Engwer; Robert Klöfkorn; Mario Ohlberger; Oliver Sander (Computing, 2008)

Supporting the testing of scientific frameworks with software product line engineering: a proposed approach. - Hanna Remmel; Barbara Paech; Christian Engwer; Peter Bastian (SE-CSE@ICSE, 2011)

An Unfitted Discontinuous Galerkin method for pore-scale simulations of solute transport. - Peter Bastian; Christian Engwer; Jorrit Fahlke; Olaf Ippisch (Math. Comput. Simul., 2011)

System Testing a Scientific Framework Using a Regression-Test Environment. - Hanna Remmel; Barbara Paech; Peter Bastian; Christian Engwer (Comput. Sci. Eng., 2012)

Scalable Hybrid Parallelization Strategies for the DUNE Grid Interface. - Christian Engwer; Jorrit Fahlke (ENUMATH, 2013)

Design and rationale of a quality assurance process for a scientific framework. - Hanna Remmel; Barbara Paech; Christian Engwer; Peter Bastian (SE-CSE@ICSE, 2013)

EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications. - Peter Bastian; Christian Engwer; Dominik Göddeke; Oleg Iliev 001; Olaf Ippisch; Mario Ohlberger; Stefan Turek; Jorrit Fahlke; Sven Kaulmann; Steffen Müthing; Dirk Ribbrock (Euro-Par Workshops (2), 2014)

A Case Study on a Quality Assurance Process for a Scientific Framework. - Hanna Remmel; Barbara Paech; Christian Engwer; Peter Bastian (Comput. Sci. Eng., 2014)

Boundary control of bidomain equations with state-dependent switching source functions in the ionic model. - Chamakuri Nagaiah; Christian Engwer; Karl Kunisch (J. Comput. Phys., 2014)

The interface for functions in the dune-functions module. - Christian Engwer; Carsten Gräser; Steffen Müthing; Oliver Sander (CoRR, 2015)

A discontinuous Galerkin Method for the EEG Forward Problem. - Christian Engwer; Johannes Vorwerk; Jakob Ludewig; Carsten H. Wolters (CoRR, 2015)

Geometric Integration Over Irregular Domains with topologic Guarantees. - Christian Engwer; Andreas Nüßing (CoRR, 2016)

The Unfitted Discontinuous Galerkin Method for Solving the EEG Forward Problem. - Andreas Nüßing; Carsten H. Wolters; Heinrich Brinck; Christian Engwer (IEEE Trans. Biomed. Eng., 2016)

Hardware-Based Efficiency Advances in the EXA-DUNE Project. - Peter Bastian; Christian Engwer; Jorrit Fahlke; Markus Geveler; Dominik Göddeke; Oleg P. Iliev; Olaf Ippisch; René Milk; Jan Mohring; Steffen Müthing; Mario Ohlberger; Dirk Ribbrock; et al. (Software for Exascale Computing, 2016)

Advances Concerning Multiscale Methods and Uncertainty Quantification in EXA-DUNE. - Peter Bastian; Christian Engwer; Jorrit Fahlke; Markus Geveler; Dominik Göddeke; Oleg P. Iliev; Olaf Ippisch; René Milk; Jan Mohring; Steffen Müthing; Mario Ohlberger; Dirk Ribbrock; et al. (Software for Exascale Computing, 2016)

Stencil computations for PDE-based applications with examples from DUNE and hypre. - Christian Engwer; Robert D. Falgout; Ulrike Meier Yang (Concurr. Comput. Pract. Exp., 2017)

Variability of stencil computations for porous media. - Alexander Grebhahn; Christian Engwer; Matthias Bolten; Sven Apel (Concurr. Comput. Pract. Exp., 2017)

A phase field approach to pressurized fractures using discontinuous Galerkin methods. - Christian Engwer; Liesel Schumacher (Math. Comput. Simul., 2017)

ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications. - Andreas Buhr; Christian Engwer; Mario Ohlberger; Stephan Rave (SIAM J. Sci. Comput., 2017)

A Discontinuous Galerkin Method to Solve the EEG Forward Problem Using the Subtraction Approach. - Christian Engwer; Johannes Vorwerk; Jakob Ludewig; Carsten H. Wolters (SIAM J. Sci. Comput., 2017)

A Mixed Finite Element Method to Solve the EEG Forward Problem. - Johannes Vorwerk; Christian Engwer; Sampsa Pursiainen; Carsten H. Wolters (IEEE Trans. Medical Imaging, 2017)

Geometric Reconstruction of Implicitly Defined Surfaces and Domains with Topological Guarantees. - Christian Engwer; Andreas Nüßing (ACM Trans. Math. Softw., 2017)

A High-Level C++ Approach to Manage Local Errors, Asynchrony and Faults in an MPI Application. - Christian Engwer; Mirco Altenbernd; Nils-Arne Dreier; Dominik Göddeke (PDP, 2018)

Function space bases in the dune-functions module. - Christian Engwer; Carsten Gräser; Steffen Müthing; Oliver Sander (CoRR, 2018)

Strategies for the Vectorized Block Conjugate Gradients Method. - Nils-Arne Dreier; Christian Engwer (ENUMATH, 2019)

Dynamic and Weighted Stabilizations of the L-scheme Applied to a Phase-Field Model for Fracture Propagation. - Christian Engwer; Iuliu Sorin Pop; Thomas Wick (ENUMATH, 2019)

Monotonicity Considerations for Stabilized DG Cut Cell Schemes for the Unsteady Advection Equation. - Florian Streitbürger; Christian Engwer; Sandra May; Andreas Nüßing (ENUMATH, 2019)

Towards Local-Failure Local-Recovery in PDE Frameworks: The Case of Linear Solvers. - Mirco Altenbernd; Nils-Arne Dreier; Christian Engwer; Dominik Göddeke (HPCSE, 2019)

Unified Generation of DG-Kernels for Different HPC Frameworks. - Jan Hönig; Marcel Koch; Ulrich Rüde; Christian Engwer; Harald Köstler (PARCO, 2019)

duneuro - A software toolbox for forward modeling in neuroscience. - Andreas Nüßing; Maria Carla Piastra; Sophie Schrader; Tuuli Miinalainen; Sampsa Pursiainen; Heinrich Brinck; Carsten H. Wolters; Christian Engwer (CoRR, 2019)

The DUNE Framework: Basic Concepts and Recent Developments. - Peter Bastian; Markus Blatt; Andreas Dedner; Nils-Arne Dreier; Christian Engwer; René Fritze; Carsten Gräser; Dominic Kempf; Robert Klöfkorn; Mario Ohlberger; Oliver Sander (CoRR, 2019)

Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications. - Peter Bastian; Mirco Altenbernd; Nils-Arne Dreier; Christian Engwer; Jorrit Fahlke; René Fritze; Markus Geveler; Dominik Göddeke; Oleg Iliev 001; Olaf Ippisch; Jan Mohring; Steffen Müthing; et al. (CoRR, 2019)

A realistic, accurate and fast source modeling approach for the EEG forward problem. - Tuuli Miinalainen; Atena Rezaei; Defne Us; Andreas Nüßing; Christian Engwer; Carsten H. Wolters; Sampsa Pursiainen (NeuroImage, 2019)

Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis. - Gregor Corbin; Christian Engwer; Axel Klar; Juanjo Nieto; Juan Soler 001; Christina Surulescu; Michael Wenske (CoRR, 2020)

Realistic head modeling of electromagnetic brain activity: An integrated Brainstorm pipeline from MRI data to the FEM solution. - Takfarinas Medani; Juan Garcia-Prieto; François Tadel; Sophie Schrader; Anand A. Joshi; Christian Engwer; Carsten H. Wolters; John C. Mosher; Richard M. Leahy (CoRR, 2020)

A Reaction-Diffusion-Advection Model for the Establishment and Maintenance of Transport-Mediated Polarity and Symmetry Breaking. - Natalie Emken; Christian Engwer (Frontiers Appl. Math. Stat., 2020)

A Stabilized DG Cut Cell Method for Discretizing the Linear Transport Equation. - Christian Engwer; Sandra May; Andreas Nüßing; Florian Streitbürger (SIAM J. Sci. Comput., 2020)

Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications. - Peter Bastian; Mirco Altenbernd; Nils-Arne Dreier; Christian Engwer; Jorrit Fahlke; René Fritze; Markus Geveler; Dominik Göddeke; Oleg Iliev 001; Olaf Ippisch; Jan Mohring; Steffen Müthing; et al. (Software for Exascale Computing, 2020)

The Dune framework: Basic concepts and recent developments. - Peter Bastian; Markus Blatt; Andreas Dedner; Nils-Arne Dreier; Christian Engwer; René Fritze; Carsten Gräser; Christoph Grüninger; Dominic Kempf; Robert Klöfkorn; Mario Ohlberger; Oliver Sander (Comput. Math. Appl., 2021)

An Unfitted dG Scheme for Coupled Bulk-Surface PDEs on Complex Geometries. - Christian Engwer; Sebastian Westerheide (Comput. Methods Appl. Math., 2021)

Lightweight, semi-automatic variability extraction: a case study on scientific computing. - Alexander Grebhahn; Christian Kaltenecker; Christian Engwer; Norbert Siegmund; Sven Apel (Empir. Softw. Eng., 2021)

A Hardware-aware and Stable Orthogonalization Framework. - Nils-Arne Dreier; Christian Engwer (CoRR, 2022)

CutFEM forward modeling for EEG source analysis. - Tim Erdbrügger; Andreas Westhoff; Malte Hoeltershinken; Jan-Ole Radecke; Yvonne Buschermoehle; Alena Buyx; Fabrice Wallois; Sampsa Pursiainen; Joachim Gross; Rebekka Lencer; Christian Engwer; Carsten H. Wolters (CoRR, 2022)

DoD Stabilization of linear hyperbolic PDEs on general cut-cell meshes. - Gunnar Birke; Christian Engwer; Sandra May; Florian Streitbürger (CoRR, 2023)

DoD stabilization for higher-order advection in two dimensions. - Florian Streitbürger; Gunnar Birke; Christian Engwer; Sandra May (CoRR, 2023)

The Localized Subtraction Approach For EEG and MEG Forward Modeling. - Malte B. Höltershinken; Pia Lange; Tim Erdbrügger; Yvonne Buschermöhle; Fabrice Wallois; Alena Buyx; Sampsa Pursiainen; Johannes Vorwerk; Christian Engwer; Carsten H. Wolters (CoRR, 2023)

An optimally stable approximation of reactive transport using discrete test and infinite trial spaces. - Lukas Renelt; Mario Ohlberger; Christian Engwer (CoRR, 2023)

Domain of Dependence stabilization for the acoustic wave equation on 2D cut-cell meshes. - Gunnar Birke; Christian Engwer; Sandra May; Florian Streitbürger (CoRR, 2023)

Brainstorm-DUNEuro: An integrated and user-friendly Finite Element Method for modeling electromagnetic brain activity. - Takfarinas Medani; Juan Garcia-Prieto; François Tadel; Marios Antonakakis; Tim Erdbrügger; Malte Hoeltershinken; Wayne Mead; Sophie Schrader; Anand A. Joshi; Christian Engwer; Carsten H. Wolters; John C. Mosher; et al. (NeuroImage, 2023)

Construction of local reduced spaces for Friedrichs' systems via randomized training. - Christian Engwer; Mario Ohlberger; Lukas Renelt (CoRR, 2024)

Error analysis of a first-order DoD cut cell method for 2D unsteady advection. - Gunnar Birke; Christian Engwer; Jan Giesselmann; Sandra May (CoRR, 2024)

Model Order Reduction of an Ultraweak and Optimally Stable Variational Formulation for Parametrized Reactive Transport Problems. - Christian Engwer; Mario Ohlberger; Lukas Renelt (SIAM J. Sci. Comput., 2024)

The Local Subtraction Approach for EEG and MEG Forward Modeling. - Malte B. Höltershinken; Pia Lange; Tim Erdbrügger; Yvonne Buschermöhle; Fabrice Wallois; Alena Buyx; Sampsa Pursiainen; Johannes Vorwerk; Christian Engwer; Carsten H. Wolters (SIAM J. Sci. Comput., 2025)

Vectorised Parallel in Time methods for low-order discretizations with application to Porous Media problems. - Christian Engwer; Alexander Schell; Nils-Arne Dreier (CoRR, 2025)

The Distributed and Unified Numerics Environment (DUNE), Version 2.10. - Markus Blatt; Samuel Burbulla; Ansgar Burchardt; Andreas Dedner; Christian Engwer; Carsten Gräser; Christoph Grüninger; Robert Klöfkorn; Timo Koch; Santiago Ospina De Los Ríos; Simon Praetorius; Oliver Sander (CoRR, 2025)

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems. - Christian Engwer; Mario Ohlberger; Lukas Renelt (CoRR, 2025)