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Compact and stable Discontinuous Galerkin methods for convection-diffusion problems.
A Generic Stabilization Approach for Higher Order Discontinuous Galerkin Methods for Convection Dominated Problems
A Generic Interface for Parallel and Adaptive Scientific Computing: Abstraction Principles and the DUNE-FEM Module
A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part II: Implementation and Tests in DUNE
A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part I: Abstract Framework
A Bottom-up approach to Grid-Computing at a University: the Black-Forest-Grid Initiative
Local adaptive methods for convection dominated problems.
On Efficient Time Stepping using the Discontinuous Galerkin Method for Numerical Weather Prediction
A High-Order Multiscale Global Atmospheric Model
The DUNE-FEM-DG module
Comparison of Higher Order Schemes on Complicated Meshes and Reservoirs
ScopeAccurate numerical modeling of fluid transport is essential in reservoir management. Higher-order methods help to improve accuracy by reducing the numerical diffusion, which is common for all first order methods. In this paper, we present an implementation of a MUSCL-type second-order finite volume method and demonstrate its capabilities on 2D and 3D unstructured grids. This includes corner p