Repository: Freie Universit├Ąt Berlin, Math Department

A fast solver for finite deformation contact problems

Sander, O. (2006) A fast solver for finite deformation contact problems. Preprint A-06-02 . (Unpublished)


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We present a new solver for large-scale two-body contact problems in nonlinear elasticity. It is based on an SQP-trust-region approach. This guarantees global convergence to a first-order critical point of the energy functional. The linearized contact conditions are discretized using mortar elements. A special basis transformation known from linear contact problems allows to use a monotone multigrid solver for the inner quadratic programs. They can thus be solved with multigrid complexity. Our algorithm does not contain any regularization or penalization parameters, and can be used for all hyperelastic material models.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1855
Deposited By: Ekaterina Engel
Deposited On:06 Mar 2016 16:44
Last Modified:03 Mar 2017 14:42

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