Repository: Freie Universit├Ąt Berlin, Math Department

A globally convergent filter-trust-region method for large deformation contact problems

Youett, J. and Sander, O. and Kornhuber, R. (2019) A globally convergent filter-trust-region method for large deformation contact problems. SIAM J. Sci. Comput., 41 (1). B114-B138. ISSN 1064-8275

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Official URL: https://doi.org/10.1137/17M1142338

Abstract

We present a globally convergent method for the solution of frictionless large deformation contact problems for hyperelastic materials. The discretization uses the mortar method which is known to be more stable than node-to-segment approaches. The resulting nonconvex constrained minimization problems are solved using a filter--trust-region scheme, and we prove global convergence towards first-order optimal points. The constrained Newton problems are solved robustly and efficiently using a truncated nonsmooth Newton multigrid method with a monotone multigrid linear correction step. For this we introduce a cheap basis transformation that decouples the contact constraints. Numerical experiments confirm the stability and efficiency of our approach.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2001
Deposited By: Ekaterina Engel
Deposited On:06 Jan 2017 13:50
Last Modified:22 Mar 2019 10:00

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