P. Bastian

Publications
Influence

A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE

P. Bastian, M. Blatt, +5 authors O. Sander
Computer Science
Computing
16 July 2008

In a companion paper (Bastian et al. 2007, this issue) we introduced and formally defined a generic grid interface for parallel scientific computing. Expand

A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure

P. Bastian
Mathematics, Computer Science
Computational Geosciences
29 September 2013

In this paper, we formulate and test numerically a fully-coupled discontinuous Galerkin (DG) method for incompressible two-phase flow with discontinuous capillary pressure. Expand

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

P. Bastian, M. Blatt, +4 authors O. Sander
Computer Science
Computing
16 July 2008

We give a mathematically rigorous definition of a grid for algorithms solving partial differential equations. Expand

A mixed-dimensional finite volume method for two-phase flow in fractured porous media

V. Reichenberger, V. Reichenberger, +5 authors R. Helmig
Geology
1 July 2006

We present a vertex-centered finite volume method for the fully coupled, fully implicit discretization of two-phase flow in fractured porous media. Fractures are discretely modeled as lower… Expand

The Iterative Solver Template Library

M. Blatt, P. Bastian
Computer Science
PARA
18 June 2006

We present the "Iterative Solver Template Library" (ISTL) which is part of the "Distributed and Unified Numerics Environment" (DUNE). Expand

Parallele adaptive Mehrgitterverfahren

P. Bastian
Computer Science
1994

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

P. Bastian, F. Heimann, Sven Marnach
Computer Science
Kybernetika
2010

In this paper we describe PDELAB, an extensible C++ template library for finite element methods based on the Distributed and Unified Numerics Environment. Expand

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

M. Blatt, P. Bastian
Computer Science
Int. J. Comput. Sci. Eng.
1 November 2008

We present an abstract parallelisation approach which clearly separates the parallelisation aspects from the data structures and solver algorithms by imposing an abstract consistency model onto the building blocks of the iterative solver components. Expand

Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems

P. Bastian, M. Blatt, Robert Scheichl
Mathematics, Computer Science
Numer. Linear Algebra Appl.
1 March 2012

We present a new algebraic multigrid (AMG) algorithm for the solution of linear systems arising from discontinuous Galerkin (DG) discretizations of heterogeneous elliptic problems. Expand

The Distributed and Unified Numerics Environment (DUNE)

P. Bastian, M. Blatt, +5 authors O. Sander
Computer Science
31 August 2006

We show how a generic mesh interface can be defined such that one algorithm, e. Expand

Recommended Authors