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 …

When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

Algebraic multigrid (AMG) methods are among the most efficient solvers for linear systems of
equations and they are widely used for the solution of problems stemming from the …

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

Effective relaxation methods are necessary for good multigrid convergence. For many
equations, standard Jacobi and Gauß–Seidel are inadequate, and more sophisticated …

A parallel geometric multigrid solver on hierarchically distributed grids is presented. Using a
tree-structure for grid distribution onto the processing entities, the multigrid cycle is …

In order to perform electroencephalography (EEG) source reconstruction, ie, to localize the
sources underlying a measured EEG, the electric potential distribution at the electrodes …

The demand for substantial increases in the spatial resolution of global weather and climate
prediction models makes it necessary to use numerically efficient and highly scalable …

The present work develops hybrid multigrid methods for high-order discontinuous Galerkin
discretizations of elliptic problems, which are, for example, a key ingredient of …

It is often rumored that a “saddle point” in mathematics derives its name from the fact that the
prototypical example in two dimensions is a surface that curves up in one direction and …