کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4642648 | 1341351 | 2007 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Path-following and augmented Lagrangian methods for contact problems in linear elasticity Path-following and augmented Lagrangian methods for contact problems in linear elasticity](/preview/png/4642648.png)
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.
Journal: Journal of Computational and Applied Mathematics - Volume 203, Issue 2, 15 June 2007, Pages 533–547