%0 Journal Article
%T Constraint interface preconditioning for topology optimization problems
%A Michal Kocvara
%A Daniel Loghin
%A James Turner
%J Mathematics
%D 2015
%I arXiv
%X The discretization of constrained nonlinear optimization problems arising in the ?eld 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.
%U http://arxiv.org/abs/1510.04568v1