9 citations · 24 across the 10 of their papers we have counts for
7 papers · 2 filters
Tensor-product vertex patch smoothers for biharmonic problems
Julius Witte, Cu Cui, Francesca Bonizzoni +1
We discuss vertex patch smoothers as overlapping domain decomposition methods for fourth order elliptic partial differential equations. We show that they are numerically very effic…
Multigrid methods for the Stokes problem on GPU systems
Cu Cui, Guido Kanschat
This paper presents a matrix-free multigrid method for solving the Stokes problem, discretized using -conforming discontinuous Galerkin methods. We employ a Schur c…
Smoothers with localized residual computations for geometric multigrid methods
Michał Wichrowski, Peter Munch, Martin Kronbichler +1
We improve the performance of multigrid solvers on many-core architectures with cache hierarchies by reorganizing operations in the smoothing step to minimize memory transfers. We…
An implementation of tensor product patch smoothers on GPU
Cu Cui, Paul Grosse-Bley, Guido Kanschat +1
We present a GPU implementation of vertex-patch smoothers for higher order finite element methods in two and three dimensions. Analysis shows that they are not memory bound with re…
Multilevel Interior Penalty Methods on GPUs
Cu Cui, Guido Kanschat
We present a matrix-free multigrid method for high-order discontinuous Galerkin (DG) finite element methods with GPU acceleration. A performance analysis is conducted, comparing va…
Monolithic two-level Schwarz preconditioner for Biot's consolidation model in two space dimensions
Stefan Meggendorfer, Guido Kanschat, Johannes Kraus
This paper addresses the construction and analysis of a class of domain decomposition methods for the iterative solution of the quasi-static Biot problem in three-field formulation…