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arXiv · 1510.04568

Constraint interface preconditioning for topology optimization problems

Michal Kocvara·Daniel Loghin·James Turner
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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.

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Michal Kocvara, Daniel Loghin, James Turner. 2015-10-15. Constraint interface preconditioning for topology optimization problems. https://arxiv.org/abs/1510.04568

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