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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.

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Metadaten
Author:Ralf Kornhuber, Rolf Krause, Oliver Sander, Peter Deuflhard, Susanne Ertel
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
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