Adaptive Mesh Refinement for Coupled Problems

Robert Söderlund
Department of Mathematics and Mathematical Statistics
Umeå University
Umeå


Abstract:

Adaptive mesh refinement for both one way coupled and two way coupled problems will be considered. The main purpose is to pinpoint the problems with the error estimation for two way coupled problems and how to solve it. In particular, approximate duals obtained by an iterative algorithm will be considered and numerical results show that often relatively few iterations are needed for the approximate dual solutions to yield satisfactory error indicators.