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

Continuous Finite-Elements on Non-Conforming Grids Using Discontinuous Galerkin Stabilization

Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes

Solving the Reactive Compressible Navier-Stokes Equations in a Moving Domain

Efficient Matrix-Free Implementation of Discontinuous Galerkin Methods for Compressible Flow Problems

DUNE-FEM: A General Purpose Discretization Toolbox for Parallel and Adaptive Scientific Computing

Performance Pitfalls in the Dune Grid Interface

3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids

Benchmark 3D: The Compact Discontinuous Galerkin 2 Scheme

Compact and Stable Discontinuous Galerkin Methods with Application to Atmospheric Flows

CDG Method for Navier-Stokes Equations

Simulation of Geophysical Problems with DUNE-FEM

Stabilization for Discontinuous Galerkin Methods Applied to Systems of Conservation Laws

Higher Order Adaptive and Parallel Simulations Including Dynamic Load Balancing with the Software Package DUNE

The compact discontinuous Galerkin method for elliptic problems

Parallel Adaptive Simulation of PEM Fuel Cells

The Distributed and Unified Numerics Environment (DUNE)

A general object oriented framework for discretizing non-linear evolution equations

An efficient implementation of an adaptive and parallel grid in DUNE