A globally convergent filter-trust-region method for large deformation contact problems
Please always quote using this URN:urn:nbn:de:0296-matheon-13973
- We present a globally convergent method for the solution of frictionless large deformation contact problems involving hyperelastic materials. For the discretisation we apply the dual mortar method which is known to be more stable than node-to-segment approaches. The resulting non-convex constrained minimisation problems are solved using a filter–trust-region scheme. This method combines several techniques from non-linear optimisation to achieve global convergence towards first-order optimal points. To speed up the method inexact linearisations of the non-penetration constraint are used whenever the current iterate is far away from a critical point. A monotone multigrid method is applied for the fast solution of the constrained Newton problems.
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| Author: | Jonathan Youett, Oliver Sander, Ralf Kornhuber |
|---|---|
| URN: | urn:nbn:de:0296-matheon-13973 |
| Referee: | Dietmar Hömberg |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2016/11/29 |
| Release Date: | 2016/11/29 |
| Tag: | filter-trust-region method; global convergence; large deformation contact; mortar discretisation |
| Institute: | Research Center Matheon |
| Freie Universität Berlin | |
| Project: | A Life sciences / A-CH1 Reduced basis methods in orthopedic hip surgery planning |
| MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Kxx Mathematical programming, optimization and variational techniques / 65K15 Numerical methods for variational inequalities and related problems |
| 74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Mxx Special kinds of problems / 74M15 Contact | |
| Preprint Number: | 1116 |
