Peter Bastian

Barbara Paech, Hanna Remmel, Peter Bastian, 2013, 2013 5th International Workshop on Software Engineering for Computational Science and Engineering (SE-CSE).

What could we learn from simulations in virtual soil systems

Hans-Jörg Vogel, Jan Vanderborght, Sarah Garré, 2012 .

The Iterative Solver Template Library

Peter Bastian, Markus Blatt, 2006, PARA.

Parallelization of Robust Multigrid Methods: ILU Factorization and Frequency Decomposition Method

Graham Horton, Peter Bastian, 1991, SIAM J. Sci. Comput..

Application of Reactive Transport Modeling to Growth and Transport of Microorganisms in the Capillary Fringe pdf

Daniel Jost, Peter Bastian, Olaf Ippisch, 2014, ArXiv.

Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo

Ole Klein, Mario Ohlberger, Peter Bastian, 2015, LSSC.

Detailed Computations of Laminar Reactive Flows Using Multigrid Methods on Parallel Computers

Dominique Thévenin, Peter Bastian, Achim Gordner, 2001 .

C++ components describing parallel domain decomposition and communication

Peter Bastian, Markus Blatt, 2009, Int. J. Parallel Emergent Distributed Syst..

Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE)

Peter Bastian, Felix Heimann, Sven Marnach, 2010, Kybernetika.

Efficient parallelization of geostatistical inversion using the quasi-linear approach

Wei Li, Peter Bastian, Olaf Ippisch, 2012, Comput. Geosci..

A high-order discontinuous Galerkin pressure robust splitting scheme for incompressible flows pdf

Peter Bastian, Marian Piatkowski, P. Bastian, 2019, ArXiv.

A stable and high-order accurate discontinuous Galerkin based splitting method for the incompressible Navier-Stokes equations

Steffen Müthing, Peter Bastian, Marian Piatkowski, 2016, J. Comput. Phys..

A mathematical model of tumor hypoxia targeting in cancer treatment and its numerical simulation

Peter Bastian, Wazir Muhammad, Ijaz Ali, 2017, Comput. Math. Appl..

Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications

Stefan Turek, Steffen Müthing, Dirk Ribbrock, 2020, Software for Exascale Computing.

An Unfitted Discontinuous Galerkin method for pore-scale simulations of solute transport

Peter Bastian, Christian Engwer, Jorrit Fahlke, 2011, Math. Comput. Simul..

Advantages of using adaptive remeshing and parallel processing for modelling biodegradation in groundwater

Roger S. Crouch, Peter Bastian, Ian A. Watson, 2005 .

Advances in High-Performance Computing: Multigrid Methods for Partial Differential Equations and its Applications

Gabriel Wittum, Christian Wieners, Sandra Nägele, 2000 .

Automatic Code Generation for High-performance Discontinuous Galerkin Methods on Modern Architectures

Steffen Müthing, Peter Bastian, Dominic Kempf, 2018, ACM Trans. Math. Softw..

High Level Software Tools for Unstructured Adaptive Grids on Massively Parallel Systems

Stefan Lang, Klaus Birken, Peter Bastian, 1999, PPSC.

Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems

Robert Scheichl, Peter Bastian, Markus Blatt, 2012, Numer. Linear Algebra Appl..

On the generic parallelisation of iterative solvers for the finite element method

Peter Bastian, Markus Blatt, 2008, Int. J. Comput. Sci. Eng..

Numerical solution of steady-state groundwater flow and solute transport problems: Discontinuous Galerkin based methods compared to the Streamline Diffusion approach pdf

Peter Bastian, Olaf Ippisch, A. Q. T. Ngo, 2014, ArXiv.

Couplex benchmark computations with UG

Peter Bastian, Stefan Lang, S. Lang, 2002 .

Advances Concerning Multiscale Methods and Uncertainty Quantification in EXA-DUNE

Stefan Turek, Steffen Müthing, Dirk Ribbrock, 2016, Software for Exascale Computing.

A Massively Parallel Algebraic Multigrid Preconditioner based on Aggregation for Elliptic Problems with Heterogeneous Coefficients pdf

Peter Bastian, Olaf Ippisch, Markus Blatt, 2012, ArXiv.

Parallel, Adaptive Solution Technique for Groundwater Flow Problems

Klaus Johannsen, Peter Bastian, Bernhard Huurdeman, 1999, PPSC.

Towards a Unified Framework for Scientific Computing

Martin Rumpf, Robert Klöfkorn, Mario Ohlberger, 2005 .

A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework

Andreas Dedner, Robert Klöfkorn, Oliver Sander, 2008, Computing.

Computational complexity of agent-based multi-scale cancer modeling

Fei Xing, Jörg Eisele, Peter Bastian, 2015, SummerSim.

Parallel implementation of the recursive Green's function method

Peter Bastian, Panos Drouvelis, P. Schmelcher, 2006, J. Comput. Phys..

High-performance Implementation of Matrix-free High-order Discontinuous Galerkin Methods pdf

Steffen Müthing, Peter Bastian, Marian Piatkowski, 2017, ArXiv.

Multigrid Methods on Adaptively Refined Grids

Christian Wieners, Peter Bastian, 2006, Computing in Science & Engineering.

The DUNE Framework: Basic Concepts and Recent Developments pdf

Andreas Dedner, Robert Klöfkorn, Mario Ohlberger, 2019, Comput. Math. Appl..

Software Engineering in Parallel and Distributed Scientific Computing: A Case Study from Industrial Practice

Sabine Rathmayer, Friedemann Unger, Peter Luksch, 1998, PDSE.

Couplex Benchmark Computations Obtained with the Software Toolbox UG

Peter Bastian, Stefan Lang, S. Lang, 2004 .

EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications pdf

Stefan Turek, Steffen Müthing, Dirk Ribbrock, 2014, Euro-Par Workshops.

A Generic Grid Interface for Adaptive and Parallel Scientific Computing. Part II: Implementation and Tests in DUNE

Andreas Dedner, Robert Klöfkorn, Ralf Kornhuber, 2007 .

A Parallel Software-Platform for Solving Problems of Partial Differential Equations using Unstructured Grids and Adaptive Multigrid Methods

Gabriel Wittum, Klaus Birken, Christian Wieners, 1999 .

The Distributed and Unified Numerics Environment (DUNE)

Andreas Dedner, Robert Klöfkorn, Oliver Sander, 2006 .

Parallel adaptive multigrid methods in plane linear elasticity problems

Stefan Lang, Peter Bastian, Knut Eckstein, 1997, Numer. Linear Algebra Appl..

Multilevel Spectral Domain Decomposition pdf

Peter Bastian, Linus Seelinger, Robert S. Scheichl, 2021, SIAM Journal on Scientific Computing.

High Performance Uncertainty Quantification with Parallelized Multilevel Markov Chain Monte Carlo

Leonhard Rannabauer, Michael Bader, Robert Scheichl, 2021, SC21: International Conference for High Performance Computing, Networking, Storage and Analysis.

Benchmark 3D: Symmetric Weighted Interior Penalty Discontinuous Galerkin Scheme

Peter Bastian, P. Bastian, 2011 .

On a monotonicity preserving Eulerian–Lagrangian localized adjoint method for advection–diffusion equations

Peter Bastian, Thimo Neubauer, P. Bastian, 2005 .

Efficient geostatistical inversion of transient groundwater flow using preconditioned nonlinear conjugate gradients

Ole Klein, Peter Bastian, Olaf Ippisch, 2017 .

PARALLEL UNSTRUCTURED GRID COMPUTATIONS

Klaus Birken, Christian Wieners, Peter Bastian, .

Implementing a discontinuous Galerkin method for the compressible, inviscid Euler equations in the DUNE framework

Steffen Müthing, Christian Klingenberg, Peter Bastian, 2014 .

Validity limits for the van Genuchten–Mualem model and implications for parameter estimation and numerical simulation

Hans-Jörg Vogel, Peter Bastian, Olaf Ippisch, 2006 .