Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems
Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems
We present robust and highly parallel multilevel non-overlapping Schwarz preconditioners to solve an interior penalty discontinuous Galerkin finite element discretization of a system of steady-state, singularly perturbed reaction-diffusion equations with a singular reaction operator using a GMRES solver. We provide proofs of convergence for the two-level setting and the multigrid …