A monotone multigrid solver for two body contact problems in biomechanics

Authors:
R. Kornhuber;R. Krause;O. Sander;P. Deuflhard;S. Ertel
Affiliations:
Freie Universität Berlin, Department of Mathematics and Computer Science, Arnimallee 6, 14195, Berlin, Germany;University of Bonn, Institute for Numerical Simulation and Institute for Applied Mathematics, Wegeler Str. 6, 53115, Bonn, Germany;Freie Universität Berlin, Department of Mathematics and Computer Science, Arnimallee 6, 14195, Berlin, Germany;Zuse Institute Berlin (ZIB), Takustr. 7, 14195, Berlin, Germany;Zuse Institute Berlin (ZIB), Takustr. 7, 14195, Berlin, Germany
Venue:
Computing and Visualization in Science
Year:
2007

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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.