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CONSTRAINT INTERFACE PRECONDITIONING FOR TOPOLOGY OPTIMIZATION PROBLEMS
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DOI：10.1137/140980387.png)
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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.
Keyword:
topology optimization
domain decomposition
Newton-Krylov
preconditioning
interior point
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