A Monotone Multigrid Solver for Contact Problems in Biomechanics
Please always quote using this URN:urn:nbn:de:0296-matheon-3293
- 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 knee problem are reported.
Author: | Ralf Kornhuber, Rolf Krause, Oliver Sander, Peter Deuflhard, Susanne Ertel |
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URN: | urn:nbn:de:0296-matheon-3293 |
Referee: | Peter Deuflhard |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2006/08/04 |
Release Date: | 2006/07/04 |
Tag: | |
Institute: | Freie Universität Berlin |
Zuse Institute Berlin (ZIB) | |
MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N55 Multigrid methods; domain decomposition |
Preprint Number: | 320 |