Repository: Freie Universit├Ąt Berlin, Math Department

Fast solving of contact problems on complicated geometries

Krause, R. and Sander, O. (2005) Fast solving of contact problems on complicated geometries. In: Domain Decomposition Methods in Science and Engineering XIII. Lecture Notes in Computational Science and Engineering, 40 . Springer, Berlin, pp. 495-502. ISBN 978-3-540-22523-2

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Official URL: https://dx.doi.org/10.1007/b138136

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.

Item Type:Book Section
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1831
Deposited By: Ekaterina Engel
Deposited On:06 Mar 2016 12:32
Last Modified:03 Mar 2017 14:42

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