Constraint interface preconditioning for topology optimization problems
Optimization and Control
2016-10-31 v1 Numerical Analysis
Abstract
The discretization of constrained nonlinear optimization problems arising in the field of topology optimization yields algebraic systems which are challenging to solve in practice, due to pathological ill-conditioning, strong nonlinearity and size. In this work we propose a methodology which brings together existing fast algorithms, namely, interior-point for the optimization problem and a novel substructuring domain decomposition method for the ensuing large-scale linear systems. The main contribution is the choice of interface preconditioner which allows for the acceleration of the domain decomposition method, leading to performance independent of problem size.
Cite
@article{arxiv.1510.04568,
title = {Constraint interface preconditioning for topology optimization problems},
author = {Michal Kocvara and Daniel Loghin and James Turner},
journal= {arXiv preprint arXiv:1510.04568},
year = {2016}
}
Comments
To be published in SIAM J. Sci. Comp