Flexible Complementarity Solvers for Large-Scale Applications

Details Flexible Complementarity Solvers for Large-Scale Applications Flexible Complementarity Solvers for Large-Scale Applications

2003-07-22

arxiv.org/abs/math/0307305v1

Mathematics

Optimization and Control

17 pages; 2 figures

Scientific paper

Discretizations of infinite-dimensional variational inequalities lead to linear and nonlinear complementarity problems with many degrees of freedom. To solve these problems in a parallel computing environment, we propose two active-set methods that solve only one linear system of equations per iteration. The linear solver, preconditioner, and matrix structures can be chosen by the user for a particular application to achieve high parallel performance. The parallel scalability of these methods is demonstrated for some discretizations of infinite-dimensional variational inequalities.

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