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https://hdl.handle.net/10316/4604
Title: | Path-following and augmented Lagrangian methods for contact problems in linear elasticity | Authors: | Stadler, Georg | Keywords: | Contact problems; Path-following; Semismooth Newton methods; Active sets; Augmented Lagrangians; Primal-dual methods | Issue Date: | 2007 | Citation: | Journal of Computational and Applied Mathematics. 203:2 (2007) 533-547 | Abstract: | A certain regularization technique for contact problems leads to a family of problems that can be solved efficiently using infinite-dimensional semismooth Newton methods, or in this case equivalently, primal-dual active set strategies. We present two procedures that use a sequence of regularized problems to obtain the solution of the original contact problem: first-order augmented Lagrangian, and path-following methods. The first strategy is based on a multiplier-update, while path-following with respect to the regularization parameter uses theoretical results about the path-value function to increase the regularization parameter appropriately. Comprehensive numerical tests investigate the performance of the proposed strategies for both a 2D as well as a 3D contact problem. | URI: | https://hdl.handle.net/10316/4604 | DOI: | 10.1016/j.cam.2006.04.017 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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