Level set based multi-scale methods for large deformation contact problems

• Autores: Rolf Krause , Christina Mohr
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 61, Nº. 4, 2011, págs. 428-442
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.11.007
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• Resumen

  • 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.