9 citations · 13 across the 7 of their papers we have counts for
8 papers · 1 filter
A high-order discontinuous Galerkin method for nonlinear sound waves
Paola. F. Antonietti, Ilario Mazzieri, Markus Muhr +2
We propose a high-order discontinuous Galerkin scheme for nonlinear acoustic waves on polytopic meshes. To model sound propagation with and without losses, we use Westervelt's nonl…
Generalized bounds for active subspaces
Mario Teixeira Parente, Jonas Wallin, Barbara Wohlmuth
In this article, we consider scenarios in which traditional estimates for the active subspace method based on probabilistic Poincaré inequalities are not valid due to unbounded Poi…
The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis
Daniel Drzisga, Brendan Keith, Barbara Wohlmuth
A reference implementation of a new method in isogeometric analysis (IGA) is presented. It delivers low-cost variable-scale approximations (surrogates) of the matrices which IGA co…
Stencil scaling for vector-valued PDEs on hybrid grids with applications to generalized Newtonian fluids
Daniel Drzisga, Ulrich Rüde, Barbara Wohlmuth
Matrix-free finite element implementations for large applications provide an attractive alternative to standard sparse matrix data formats due to the significantly reduced memory c…
Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation
Marvin Fritz, Ernesto A. B. F. Lima, Vanja Nikolić +2
We present and analyze new multi-species phase-field mathematical models of tumor growth and ECM invasion. The local and nonlocal mathematical models describe the evolution of volu…
Finite volume discretization for poroelastic media with fractures modeled by contact mechanics
Runar L. Berge, Inga Berre, Eirik Keilegavlen +2
A fractured poroelastic body is considered where the opening of the fractures is governed by a nonpenetration law while slip is described by a Coulomb-type friction law. This physi…