This paper presents the basic concepts and the module structure of the Distributed and
Unified Numerics Environment and reflects on recent developments and general changes …

In this article we consider finite element methods for approximating the solution of partial
differential equations on surfaces. We focus on surface finite elements on triangulated …

We discuss an object oriented design of finite element core functionality. It allows to
separate the mathematical definition of the finite element basis functions, the efficient …

We present version 3 of the open-source simulator for flow and transport processes in
porous media DuMu x. DuMu x is based on the modular C++ framework Dune (Distributed …

This paper presents several test cases intended to be benchmarks for numerical schemes
for single-phase fluid flow in fractured porous media. A number of solution strategies are …

Abstract The Open Porous Media (OPM) initiative is a community effort that encourages
open innovation and reproducible research for simulation of porous media processes. OPM …

DuMux is a free and open-source simulator for flow and transport processes in porous
media, based on the Distributed and Unified Numerics Environment (DUNE). Its main …

This paper summarises the results of a benchmark study that compares a number of
mathematical and numerical models applied to specific problems in the context of carbon …

We give a mathematically rigorous definition of a grid for algorithms solving partial
differential equations. Unlike previous approaches (Benger 2005, PhD thesis; Berti 2000 …

We present a number of test cases and meshes that were designed as a benchmark for
numerical schemes dedicated to the approximation of three-dimensional anisotropic and …