Peter Bastian

59 papers A 1Journal 43Unranked 11
YearRankTypeTitle / Venue / Authors
2025 J jnl
A GenEO-type coarse space with smaller eigenproblems.
CoRR
Peter Bastian, Nils Friess
2025 J jnl
A non-negativity-preserving cut-cell discontinuous Galerkin method for the diffusive wave equation.
CoRR
Panasun Manorost, Peter Bastian
2025 J jnl
Novel bidomain partitioned strategies for the simulation of ventricular fibrillation dynamics.
CoRR
Gopika P. B., Peter Bastian, Nagaiah Chamakuri
2025 J jnl
Optimal Spectral Approximation in the Overlaps for Generalized Finite Element Methods.
CoRR
Christian Alber, Peter Bastian, Moritz Hauck, Robert Scheichl
2025 J jnl
Robust spectral preconditioning for high-Péclet number convection-diffusion.
CoRR
Lukas Holbach, Peter Bastian, Robert Scheichl
2024 J jnl
DuneCopasi: A multi-compartment reaction-diffusion simulator for systems biology.
J. Open Source Softw.
Santiago Ospina De Los Ríos, Peter Bastian, Liam Keegan, Sven Sahle, Dylan Vermoortele, Lilija Wehling
2024 J jnl
Scalable multiscale-spectral GFEM with an application to composite aero-structures.
J. Comput. Phys.
Jean Bénézech, Linus Seelinger, Peter Bastian, Richard Butler, Timothy Dodwell, Chupeng Ma, Robert Scheichl
2023 J jnl
Multilevel Spectral Domain Decomposition.
SIAM J. Sci. Comput.
Peter Bastian, Robert Scheichl, Linus Seelinger, Arne Strehlow
2022 J jnl
Scalable multiscale-spectral GFEM for composite aero-structures.
CoRR
Jean Bénézech, Linus Seelinger, Peter Bastian, Richard Butler, Timothy Dodwell, Chupeng Ma, Robert Scheichl
2021 J jnl
Automatic Code Generation for High-performance Discontinuous Galerkin Methods on Modern Architectures.
ACM Trans. Math. Softw.
Dominic Kempf, René Heß, Steffen Müthing, Peter Bastian
2021 J jnl
High Performance Uncertainty Quantification with Parallelized Multilevel Markov Chain Monte Carlo.
CoRR
Linus Seelinger, Anne Reinarz, Leonhard Rannabauer, Michael Bader, Peter Bastian, Robert Scheichl
2021 A conf
High performance uncertainty quantification with parallelized multilevel Markov chain Monte Carlo.
SC
Linus Seelinger, Anne Reinarz, Leonhard Rannabauer, Michael Bader, Peter Bastian, Robert Scheichl
2021 J jnl
Multilevel Spectral Domain Decomposition.
CoRR
Peter Bastian, Robert Scheichl, Linus Seelinger, Arne Strehlow
2021 J jnl
The Dune framework: Basic concepts and recent developments.
Comput. Math. Appl.
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
2020 — ch.
Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications.
Software for Exascale Computing
Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, Jorrit Fahlke, René Fritze, Markus Geveler, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Jan Mohring, Steffen Müthing, Mario Ohlberger, Dirk Ribbrock, Nikolay Shegunov, Stefan Turek
2020 J jnl
Mathematical modeling of plant cell fate transitions controlled by hormonal signals.
PLoS Comput. Biol.
Filip Z. Klawe, Thomas Stiehl, Peter Bastian, Christophe Gaillochet, Jan U. Lohmann, Anna K. Marciniak-Czochra
2019 J jnl
A high-order discontinuous Galerkin pressure robust splitting scheme for incompressible flows.
CoRR
Marian Piatkowski, Peter Bastian
2019 — conf
An HPC perspective on generative programming.
SE4Science@ICSE
Dominic Kempf, Peter Bastian
2019 J jnl
Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications.
CoRR
Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, Jorrit Fahlke, René Fritze, Markus Geveler, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Jan Mohring, Steffen Müthing, Mario Ohlberger, Dirk Ribbrock, Nikolay Shegunov, Stefan Turek
2019 J jnl
Matrix-free multigrid block-preconditioners for higher order discontinuous Galerkin discretisations.
J. Comput. Phys.
Peter Bastian, Eike Hermann Müller, Steffen Müthing, Marian Piatkowski
2019 J jnl
The DUNE Framework: Basic Concepts and Recent Developments.
CoRR
Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, Oliver Sander
2018 J jnl
A stable and high-order accurate discontinuous Galerkin based splitting method for the incompressible Navier-Stokes equations.
J. Comput. Phys.
Marian Piatkowski, Steffen Müthing, Peter Bastian
2018 J jnl
Matrix-free multigrid block-preconditioners for higher order Discontinuous Galerkin discretisations.
CoRR
Peter Bastian, Eike Hermann Müller, Steffen Müthing, Marian Piatkowski
2017 J jnl
A mathematical model of tumor hypoxia targeting in cancer treatment and its numerical simulation.
Comput. Math. Appl.
Muhammad Sabir, Abdullah Shah, Wazir Muhammad, Ijaz Ali, Peter Bastian
2017 J jnl
High-performance Implementation of Matrix-free High-order Discontinuous Galerkin Methods.
CoRR
Steffen Müthing, Marian Piatkowski, Peter Bastian
2016 — ch.
Advances Concerning Multiscale Methods and Uncertainty Quantification in EXA-DUNE.
Software for Exascale Computing
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, Stefan Turek
2016 — ch.
Hardware-Based Efficiency Advances in the EXA-DUNE Project.
Software for Exascale Computing
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, Stefan Turek
2015 — conf
Computational complexity of agent-based multi-scale cancer modeling.
SummerSim
Fei Xing, Jörg Eisele, Peter Bastian, Dieter W. Heermann
2015 — conf
Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo.
LSSC
Jan Mohring, René Milk, Adrian Ngo, Ole Klein, Oleg Iliev, Mario Ohlberger, Peter Bastian
2014 J jnl
A Case Study on a Quality Assurance Process for a Scientific Framework.
Comput. Sci. Eng.
Hanna Remmel, Barbara Paech, Christian Engwer, Peter Bastian
2014 J jnl
Application of reactive transport modelling to growth and transport of microorganisms in the capillary fringe.
CoRR
Pavel Hron, Daniel Jost, Peter Bastian, Claudia Gallert, Josef Winter, Olaf Ippisch
2014 — conf
EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications.
Euro-Par Workshops (2)
Peter Bastian, Christian Engwer, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Mario Ohlberger, Stefan Turek, Jorrit Fahlke, Sven Kaulmann, Steffen Müthing, Dirk Ribbrock
2014 J jnl
Numerical solution of steady-state groundwater flow and solute transport problems: Discontinuous Galerkin based methods compared to the Streamline Diffusion approach.
CoRR
A. Q. T. Ngo, Peter Bastian, Olaf Ippisch
2013 J jnl
A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure.
CoRR
Peter Bastian
2013 — conf
Design and rationale of a quality assurance process for a scientific framework.
SE-CSE@ICSE
Hanna Remmel, Barbara Paech, Christian Engwer, Peter Bastian
2012 J jnl
A Massively Parallel Algebraic Multigrid Preconditioner based on Aggregation for Elliptic Problems with Heterogeneous Coefficients.
CoRR
Markus Blatt, Olaf Ippisch, Peter Bastian
2012 J jnl
Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems.
Numer. Linear Algebra Appl.
Peter Bastian, Markus Blatt, Robert Scheichl
2012 J jnl
Efficient parallelization of geostatistical inversion using the quasi-linear approach.
Comput. Geosci.
Ronnie L. Schwede, Adrian Ngo, Peter Bastian, Olaf Ippisch, Wei Li, Olaf A. Cirpka
2012 J jnl
System Testing a Scientific Framework Using a Regression-Test Environment.
Comput. Sci. Eng.
Hanna Remmel, Barbara Paech, Peter Bastian, Christian Engwer
2011 J jnl
An Unfitted Discontinuous Galerkin method for pore-scale simulations of solute transport.
Math. Comput. Simul.
Peter Bastian, Christian Engwer, Jorrit Fahlke, Olaf Ippisch
2011 J jnl
Fast extraction of neuron morphologies from large-scale SBFSEM image stacks.
J. Comput. Neurosci.
Stefan Lang, Panos Drouvelis, Enkelejda Tafaj, Peter Bastian, Bert J. Sakmann
2011 — conf
Supporting the testing of scientific frameworks with software product line engineering: a proposed approach.
SE-CSE@ICSE
Hanna Remmel, Barbara Paech, Christian Engwer, Peter Bastian
2010 J jnl
Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE).
Kybernetika
Peter Bastian, Felix Heimann, Sven Marnach
2009 J jnl
C++ components describing parallel domain decomposition and communication.
Int. J. Parallel Emergent Distributed Syst.
Markus Blatt, Peter Bastian
2008 J jnl
A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework.
Computing
Peter Bastian, Markus Blatt, Andreas Dedner, Christian Engwer, Robert Klöfkorn, Mario Ohlberger, Oliver Sander
2008 J jnl
A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE.
Computing
Peter Bastian, Markus Blatt, Andreas Dedner, Christian Engwer, Robert Klöfkorn, Ralf Kornhuber, Mario Ohlberger, Oliver Sander
2008 J jnl
On the generic parallelisation of iterative solvers for the finite element method.
Int. J. Comput. Sci. Eng.
Markus Blatt, Peter Bastian
2006 J jnl
Multigrid Methods on Adaptively Refined Grids.
Comput. Sci. Eng.
Peter Bastian, Christian Wieners
2006 J jnl
Parallel implementation of the recursive Green's function method.
J. Comput. Phys.
Panos Drouvelis, Peter Schmelcher, Peter Bastian
2006 — conf
The Iterative Solver Template Library.
PARA
Markus Blatt, Peter Bastian
2004 — conf
Spatial Modeling and Simulation of Diffusion in Nuclei of Living Cells.
CMSB
Dietmar Volz, Martin Eigel, Chaitanya A. Athale, Peter Bastian, Harald Hermann, Constantin Kappel, Roland Eils
1999 — conf
High Level Software Tools for Unstructured Adaptive Grids on Massively Parallel Systems.
PP
Peter Bastian, Klaus Birken, Stefan Lang
1999 — conf
Parallel, Adaptive Solution Technique for Groundwater Flow Problems.
PP
Peter Bastian, Klaus Johannsen, Bernhard Huurdeman
1998 J jnl
Additive and Multiplicative Multi-Grid - A Comparison.
Computing
Peter Bastian, Wolfgang Hackbusch, Gabriel Wittum
1998 J jnl
Load Balancing for Adaptive Multigrid Methods.
SIAM J. Sci. Comput.
Peter Bastian
1998 — conf
Software Engineering in Parallel and Distributed Scientific Computing: A Case Study from Industrial Practice.
PDSE
Peter Luksch, Ursula Maier, Sabine Rathmayer, Matthias Weidmann, Friedemann Unger, Peter Bastian, Volker Reichenberger, Andreas Haas
1997 J jnl
Parallel adaptive multigrid methods in plane linear elasticity problems.
Numer. Linear Algebra Appl.
Peter Bastian, Stefan Lang, Knut Eckstein
1994 — —
Parallele adaptive Mehrgitterverfahren.
Peter Bastian
1991 J jnl
Parallelization of Robust Multigrid Methods: ILU Factorization and Frequency Decomposition Method.
SIAM J. Sci. Comput.
Peter Bastian, Graham Horton