Schur complement methods for the solution of poisson equation with unstructured meshes

Abstract

Some variants of the Schur Decomposition algorithm [1] to solve the Poisson equation on complex geometries with unstructured meshes are presented. This algorithms have been designed to be applied to Large Eddy Simulations with low cost parallel computers, in the context of the new CFD code TermoFluids [2]. Numerical experiments carried out in order to test the robustness and efficiency of the algorithms are presented. Preliminary tests show that in general Schur Complement techniques accelerate the convergence and are significantly faster than others approaches such as Krylov methods with sparse approximate inverse preconditioners [7]. © 2009 Springer-Verlag Berlin Heidelberg.