3 papers
math.NA2021
Should multilevel methods for discontinuous Galerkin discretizations use discontinuous interpolation operators?
Jose Pablo Lucero Lorca, Martin Jakob Gander
Multi-level preconditioners for Discontinuous Galerkin (DG) discretizations are widely used to solve elliptic equations, and a main ingredient of such solvers is the interpolation…
math.NA2020
Optimization of two-level methods for DG discretizations of reaction-diffusion equations
José Pablo Lucero Lorca, Martin Jakob Gander
We analyze and optimize two-level methods applied to a symmetric interior penalty discontinuous Galerkin finite element discretization of a singularly perturbed reaction-diffusion…
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…