The primal-dual active set method for a crack problem with non-penetration |
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| Authors: | Hintermuller, M. Kovtunenko, V.A. Kunisch, K. |
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| Affiliation: | 1 Institute of Mathematics, University of Graz, 8010 Graz, Austria |
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| Abstract: | The Lamé problem in a 2D domain with a crack under anon-penetration condition is considered as a variational inequality.A primaldual active set method is proposed as an efficientnumerical solution technique and compared to a previously employediterative method for a penalized formulation. Sufficient conditionsfor monotonic convergence of a discretized version of the proposedalgorithm are given and numerical experiments are presented. |
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| Keywords: | crack non-penetration variational inequality active set algorithm numerical simulation. |
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