5 papers · 1 filter
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…
HMG -- Homogeneous multigrid for HDG
Peipei Lu, Andreas Rupp, Guido Kanschat
We introduce a homogeneous multigrid method in the sense that it uses the same HDG discretization scheme for Poisson's equation on all levels. In particular, we construct a stable…
Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods
Julius Witte, Daniel Arndt, Guido Kanschat
In this article, we discuss the efficient implementation of powerful domain decomposition smoothers for multigrid methods for high order discontinuous Galerkin (DG) finite element…
Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems
Jose Pablo Lucero Lorca, Guido Kanschat
We present robust and highly parallel multilevel non-overlapping Schwarz preconditioners, to solve an interior penalty discontinuous Galerkin finite element discretization of a sys…