Parallel Boundary Element Methods in Space and Time

Abstract

Efficient parallel implementation of the boundary element method is crucial for its applicability to the solution of real world engineering problems. Several approaches to the parallelization of BEM are presented in this thesis, including in-core vectorization using SIMD instruction set extensions, a novel distributed fast boundary element method based on the cyclic graph decompositions, and parallel space-time Galerkin boundary element method for the time dependent wave equation utilizing smooth temporal basis functions. In the thesis we provide a brief introduction to the boundary element method in both space and time, describe our in-house boundary element environment, in which most of the methods are implemented, and provide a commentary to author's published papers in the field.