A monotone multigrid solver for two body contact problems in biomechanics |
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| Authors: | R. Kornhuber R. Krause O. Sander P. Deuflhard S. Ertel |
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| Affiliation: | 1.Department of Mathematics and Computer Science,Freie Universit?t Berlin,Berlin,Germany;2.Institute for Numerical Simulation and Institute for Applied Mathematics,University of Bonn,Bonn,Germany;3.Zuse Institute Berlin (ZIB),Berlin,Germany |
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| Abstract: | The purpose of the paper is to apply monotone multigrid methods to static and dynamic biomechanical contact problems. In space, a finite element method involving a mortar discretization of the contact conditions is used. In time, a new contact-stabilized Newmark scheme is presented. Numerical experiments for a two body Hertzian contact problem and a biomechanical application are reported. This work was supported by the DFG Research Center Matheon. |
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