4 citations · 4 across the 2 of their papers we have counts for
5 papers
Efficient distributed matrix-free multigrid methods on locally refined meshes for FEM computations
Peter Munch, Timo Heister, Laura Prieto Saavedra +1
This work studies three multigrid variants for matrix-free finite-element computations on locally refined meshes: geometric local smoothing, geometric global coarsening, and polyno…
Robust preconditioning for a mixed formulation of phase-field fracture problems
Timo Heister, Katrin Mang, Thomas Wick
In this work, we consider fracture propagation in nearly incompressible and (fully) incompressible materials using a phase-field formulation. We use a mixed form of the elasticity…
The deal.II finite element library: design, features, and insights
Daniel Arndt, Wolfgang Bangerth, Denis Davydov +7
deal.II is a state-of-the-art finite element library focused on generality, dimension-independent programming, parallelism, and extensibility. Herein, we outline its primary design…
Comparison Between Algebraic and Matrix-free Geometric Multigrid for a Stokes Problem on Adaptive Meshes with Variable Viscosity
Thomas C. Clevenger, Timo Heister
Problems arising in Earth's mantle convection involve finding the solution to Stokes systems with large viscosity contrasts. These systems contain localized features which, even wi…
A new formulation for coupled magma/mantle dynamics
Juliane Dannberg, Rene Gassmöller, Ryan Grove +1
Many open problems in the Earth sciences can only be understood by modelling the porous flow of melt through a viscously deforming solid rock matrix. However, the system of equatio…