Parallel Solution of the Linear Elasticity problem with Applications in Topology Optimization
For researchers in computational mechanics and topology optimization, this work offers a parallel solver for a known bottleneck (repeated linear elasticity solves), but the contribution appears incremental.
The paper presents a parallel domain decomposition method for solving linear elasticity problems, targeting topology optimization where repeated solutions are needed. The approach enables efficient parallel computation of solutions.
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.