3 papers
math.NA2020
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…
math.NA2019
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…
math.NA2018
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…