Parallelization of Robust Multigrid Methods: ILU Factorization and Frequency Decomposition Method. - Peter Bastian; Graham Horton (SIAM J. Sci. Comput., 1991)

Parallele adaptive Mehrgitterverfahren. - Peter Bastian (Teubner, 1994)

Parallel adaptive multigrid methods in plane linear elasticity problems. - Peter Bastian; Stefan Lang 002; Knut Eckstein (Numer. Linear Algebra Appl., 1997)

Software Engineering in Parallel and Distributed Scientific Computing: A Case Study from Industrial Practice. - Peter Luksch 001; Ursula Maier; Sabine Rathmayer; Matthias Weidmann; Friedemann Unger; Peter Bastian; Volker Reichenberger; Andreas Haas (PDSE, 1998)

Additive and Multiplicative Multi-Grid - A Comparison. - Peter Bastian; Wolfgang Hackbusch; Gabriel Wittum (Computing, 1998)

Load Balancing for Adaptive Multigrid Methods. - Peter Bastian (SIAM J. Sci. Comput., 1998)

High Level Software Tools for Unstructured Adaptive Grids on Massively Parallel Systems. - Peter Bastian; Klaus Birken; Stefan Lang 002 (PP, 1999)

Parallel, Adaptive Solution Technique for Groundwater Flow Problems. - Peter Bastian; Klaus Johannsen; Bernhard Huurdeman (PP, 1999)

Spatial Modeling and Simulation of Diffusion in Nuclei of Living Cells. - Dietmar Volz; Martin Eigel; Chaitanya A. Athale; Peter Bastian; Harald Hermann; Constantin Kappel; Roland Eils (CMSB, 2004)

The Iterative Solver Template Library. - Markus Blatt; Peter Bastian (PARA, 2006)

Multigrid Methods on Adaptively Refined Grids. - Peter Bastian; Christian Wieners (Comput. Sci. Eng., 2006)

Parallel implementation of the recursive Green's function method. - Panos Drouvelis; Peter Schmelcher; Peter Bastian (J. Comput. Phys., 2006)

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)

On the generic parallelisation of iterative solvers for the finite element method. - Markus Blatt; Peter Bastian (Int. J. Comput. Sci. Eng., 2008)

C++ components describing parallel domain decomposition and communication. - Markus Blatt; Peter Bastian (Int. J. Parallel Emergent Distributed Syst., 2009)

Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE). - Peter Bastian; Felix Heimann; Sven Marnach (Kybernetika, 2010)

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)

Fast extraction of neuron morphologies from large-scale SBFSEM image stacks. - Stefan Lang 002; Panos Drouvelis; Enkelejda Tafaj; Peter Bastian; Bert J. Sakmann (J. Comput. Neurosci., 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)

A Massively Parallel Algebraic Multigrid Preconditioner based on Aggregation for Elliptic Problems with Heterogeneous Coefficients. - Markus Blatt; Olaf Ippisch; Peter Bastian (CoRR, 2012)

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

Efficient parallelization of geostatistical inversion using the quasi-linear approach. - Ronnie L. Schwede; Adrian Ngo; Peter Bastian; Olaf Ippisch; Wei Li; Olaf A. Cirpka (Comput. Geosci., 2012)

Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems. - Peter Bastian; Markus Blatt; Robert Scheichl (Numer. Linear Algebra Appl., 2012)

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

A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure. - Peter Bastian (CoRR, 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)

Application of reactive transport modelling to growth and transport of microorganisms in the capillary fringe. - Pavel Hron; Daniel Jost 004; Peter Bastian; Claudia Gallert; Josef Winter; Olaf Ippisch (CoRR, 2014)

Numerical solution of steady-state groundwater flow and solute transport problems: Discontinuous Galerkin based methods compared to the Streamline Diffusion approach. - A. Q. T. Ngo; Peter Bastian; Olaf Ippisch (CoRR, 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)

Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo. - Jan Mohring; René Milk; Adrian Ngo; Ole Klein; Oleg Iliev 001; Mario Ohlberger; Peter Bastian (LSSC, 2015)

Computational complexity of agent-based multi-scale cancer modeling. - Fei Xing 001; Jörg Eisele; Peter Bastian; Dieter W. Heermann (SummerSim, 2015)

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)

A mathematical model of tumor hypoxia targeting in cancer treatment and its numerical simulation. - Muhammad Sabir; Abdullah Shah; Wazir Muhammad; Ijaz Ali; Peter Bastian (Comput. Math. Appl., 2017)

High-performance Implementation of Matrix-free High-order Discontinuous Galerkin Methods. - Steffen Müthing; Marian Piatkowski; Peter Bastian (CoRR, 2017)

A stable and high-order accurate discontinuous Galerkin based splitting method for the incompressible Navier-Stokes equations. - Marian Piatkowski; Steffen Müthing; Peter Bastian (J. Comput. Phys., 2018)

An HPC perspective on generative programming. - Dominic Kempf; Peter Bastian (SE4Science@ICSE, 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 high-order discontinuous Galerkin pressure robust splitting scheme for incompressible flows. - Marian Piatkowski; Peter Bastian (CoRR, 2019)

Matrix-free multigrid block-preconditioners for higher order discontinuous Galerkin discretisations. - Peter Bastian; Eike Hermann Müller; Steffen Müthing; Marian Piatkowski (J. Comput. Phys., 2019)

Mathematical modeling of plant cell fate transitions controlled by hormonal signals. - Filip Z. Klawe; Thomas Stiehl; Peter Bastian; Christophe Gaillochet; Jan U. Lohmann; Anna K. Marciniak-Czochra (PLoS Comput. Biol., 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)

High performance uncertainty quantification with parallelized multilevel Markov chain Monte Carlo. - Linus Seelinger; Anne Reinarz; Leonhard Rannabauer; Michael Bader; Peter Bastian; Robert Scheichl (SC, 2021)

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)

Automatic Code Generation for High-performance Discontinuous Galerkin Methods on Modern Architectures. - Dominic Kempf; René Heß; Steffen Müthing; Peter Bastian (ACM Trans. Math. Softw., 2021)

Scalable multiscale-spectral GFEM for composite aero-structures. - Jean Bénézech; Linus Seelinger; Peter Bastian; Richard Butler; Timothy Dodwell; Chupeng Ma; Robert Scheichl (CoRR, 2022)

Multilevel Spectral Domain Decomposition. - Peter Bastian; Robert Scheichl; Linus Seelinger; Arne Strehlow (SIAM J. Sci. Comput., 2023)

Scalable multiscale-spectral GFEM with an application to composite aero-structures. - Jean Bénézech; Linus Seelinger; Peter Bastian; Richard Butler; Timothy Dodwell; Chupeng Ma; Robert Scheichl (J. Comput. Phys., 2024)

DuneCopasi: A multi-compartment reaction-diffusion simulator for systems biology. - Santiago Ospina De Los Ríos; Peter Bastian; Liam Keegan; Sven Sahle; Dylan Vermoortele; Lilija Wehling (J. Open Source Softw., 2024)

Optimal Spectral Approximation in the Overlaps for Generalized Finite Element Methods. - Christian Alber; Peter Bastian; Moritz Hauck; Robert Scheichl (CoRR, 2025)