5 papers
Transmission problems and domain decompositions for non-autonomous parabolic equations on evolving domains
Amal Alphonse, Ana Djurdjevac, Emil Engström +1
Parabolic equations on evolving domains model a multitude of applications including various industrial processes such as the molding of heated materials. Such equations are numeric…
Convergence of the Dirichlet-Neumann method for semilinear elliptic equations
Emil Engström
The Dirichlet-Neumann method is a common domain decomposition method for nonoverlapping domain decomposition and the method has been studied extensively for linear elliptic equatio…
An abstract approach to the Robin-Robin method
Emil Engström, Eskil Hansen
Recently, their has been development of an abstract approach to the Robin--Robin method, enabling the treatment of linear and nonlinear elliptic and parabolic equations on Lipschit…
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…
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…