4 citations · 5 across the 4 of their papers we have counts for
8 papers
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis
G. Corbin, C. Engwer, A. Klar +4
We deduce a model for glioma invasion making use of DTI data and accounting for the dynamics of brain tissue being actively degraded by tumor cells via excessive acidity production…
Estimating the extent of glioblastoma invasion
Christian Engwer, Michael Wenske
Glioblastoma Multiforme is a malignant brain tumor with poor prognosis. There have been numerous attempts to model the invasion of tumorous glioma cells via partial differential eq…
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…