5 papers · 1 filter
A multigrid method for CutFEM and its implementation on GPU
Cu Cui, Guido Kanschat
We present a multigrid method for an unfitted finite element discretization of the Dirichlet boundary value problem. The discretization employs Nitsche's method to implement the bo…
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…
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…