64 citations · 188 across the 35 of their papers we have counts for
7 papers · 1 filter
Monotonicity considerations for stabilized DG cut cell schemes for the unsteady advection equation
Florian Streitbürger, Christian Engwer, Sandra May +1
For solving unsteady hyperbolic conservation laws on cut cell meshes, the so called small cell problem is a big issue: one would like to use a time step that is chosen with respect…
Strategies for the vectorized Block Conjugate Gradients method
Nils-Arne Dreier, Christian Engwer
Block Krylov methods have recently gained a lot of attraction. Due to their increased arithmetic intensity they offer a promising way to improve performance on modern hardware. Rec…
Dynamic and weighted stabilizations of the -scheme applied to a phase-field model for fracture propagation
Christian Engwer, Iuliu Sorin Pop, Thomas Wick
We consider a phase-field fracture propagation model, which consists of two (nonlinear) coupled partial differential equations. The first equation describes the displacement evolut…
Exa-Dune -- Flexible PDE Solvers, Numerical Methods and Applications
Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier +13
In the Exa-Dune project we have developed, implemented and optimised numerical algorithms and software for the scalable solution of partial differential equations (PDEs) on future…
The DUNE Framework: Basic Concepts and Recent Developments
Peter Bastian, Markus Blatt, Andreas Dedner +9
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 that hap…
A stabilized DG cut cell method for discretizing the linear transport equation
Christian Engwer, Sandra May, Andreas Nüßing +1
We present new stabilization terms for solving the linear transport equation on a cut cell mesh using the discontinuous Galerkin (DG) method in two dimensions with piecewise linear…