4 citations · 7 across the 7 of their papers we have counts for
5 papers · 1 filter
A Hardware-aware and Stable Orthogonalization Framework
Nils-Arne Dreier, Christian Engwer
The orthogonalization process is an essential building block in Krylov space methods, which takes up a large portion of the computational time. Commonly used methods, like the Gram…
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…
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…