Level set based multi-scale methods for large deformation contact problems |
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Authors: | Rolf Krause Christina Mohr |
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Institution: | Institute of Computational Science, Faculty of Informatics, University of Lugano, Via Giuseppe Buffi 13, CH-6904 Lugano, Switzerland |
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Abstract: | We consider the numerical simulation of contact problems in elasticity with large deformations. The non-penetration condition is described by means of a signed distance function to the obstacle's boundary. Techniques from level set methods allow for an appropriate numerical approximation of the signed distance function preserving its non-smooth character. The emerging non-convex optimization problem subject to non-smooth inequality constraints is solved by a non-smooth multiscale SQP method in combination with a non-smooth multigrid method as interior solver. Several examples in three space dimensions including applications in biomechanics illustrate the capability of our methods. |
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Keywords: | Non-linear elasticity Contact problems Large deformations Level set methods Non-smooth optimization Multigrid methods |
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