3 papers
math.NA2022
Time-dependent Steklov--Poincaré operators and space-time Robin--Robin decomposition for the heat equation
Emil Engström, Eskil Hansen
Domain decomposition methods are a set of widely used tools for parallelization of partial differential equation solvers. Convergence is well studied for elliptic equations, but in…
math.NA2021
Convergence Analysis of the Nonoverlapping Robin-Robin Method for Nonlinear Elliptic Equations
Emil Engström, Eskil Hansen
We prove convergence for the nonoverlapping Robin-Robin method applied to nonlinear elliptic equations with a -structure, including degenerate diffusion equations governed by th…
math.NA2019
A variational approach to the sum splitting scheme
Monika Eisenmann, Eskil Hansen
Nonlinear parabolic equations are frequently encountered in applications and efficient approximating techniques for their solution are of great importance. In order to provide an e…