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A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE
TLDR
In a companion paper (Bastian et al. 2007, this issue) we introduced and formally defined a generic grid interface for parallel scientific computing. Expand
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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
TLDR
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
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A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework
TLDR
We give a mathematically rigorous definition of a grid for algorithms solving partial differential equations. Expand
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A mixed-dimensional finite volume method for two-phase flow in fractured porous media
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 lowerExpand
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The Iterative Solver Template Library
TLDR
We present the "Iterative Solver Template Library" (ISTL) which is part of the "Distributed and Unified Numerics Environment" (DUNE). Expand
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Parallele adaptive Mehrgitterverfahren
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Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE)
TLDR
In this paper we describe PDELAB, an extensible C++ template library for finite element methods based on the Distributed and Unified Numerics Environment. Expand
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On the generic parallelisation of iterative solvers for the finite element method
TLDR
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
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Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems
TLDR
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
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The Distributed and Unified Numerics Environment (DUNE)
TLDR
We show how a generic mesh interface can be defined such that one algorithm, e. Expand
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