Space decomposition solvers and their performance in PC-based parallel computing environments

Abstract

The paper summarizes progress we have made since PPAM 2001 [1] in the parallel solution of large-scale FE systems arising from mathematical modelling in geomechanics. It tracks both the development of the mathematical methods implemented in the solvers, where the overlapping domain decomposition is contraposed to the displacement decomposition covered in [1], and also the performance advantage provided by a self-made Beowulf cluster for practical parallel computing.