Parallel Solution of the Linear Elasticity problem with Applications in Topology Optimization

James Turner, Michal Kocvara, Daniel Loghin

Published 2015-01-25Version 1

In this paper, we aim to solve the system of equations governing linear elasticity in parallel using domain decomposition. Through a non-overlapping decomposition of the domain, our approach aims to target the resulting interface problem, allowing for the parallel computation of solutions in an efficient manner. As a major application of our work, we apply our results to the field of topology optimization, where typical solvers require repeated solutions of linear elasticity problems resulting from the use of a Picard approach.