Fast solving of contact problems on Complicated geometries

Rolf Krause, Oliver Sander

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

7 Scopus citations

Abstract

We consider the numerical simulation of multi-body contact problems in linear elasticity. For the discretization of the transmission conditions at the interface between the bodies by means of a transfer operator nonconforming domain decomposition methods (mortar methods) are used. Here, we focus on the difficulties related to the discrete choice of the transfer operator. We explain in detail how the transfer operator can be implemented in the case of three-dimensional nonplanar contact boundaries. For the numerical solution of the arising nonlinear systems of equations monotone multigrid methods are used, which do not require any regularization of the nonpenetration condition at the contact interface.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Scienceand Engineering
PublisherSpringer Verlag
Pages495-502
Number of pages8
ISBN (Print)3540225234, 9783540225232
DOIs
StatePublished - 2005

Publication series

NameLecture Notes in Computational Science and Engineering
Volume40
ISSN (Print)1439-7358

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Engineering
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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