Domain decomposition and Uzawa-type iterative method for elliptic variational inequality
- 作者: Lapin A.V.1
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隶属关系:
- Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
- 期: 卷 38, 编号 5 (2017)
- 页面: 833-842
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199859
- DOI: https://doi.org/10.1134/S1995080217050353
- ID: 199859
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详细
Finite element approximation of an elliptic variational inequality with quaisilinear operator and constraints to the solution and its gradient is constructed. Corresponding discrete problem is splitted into subproblems by non-overlapping domain decomposition technique and constrained saddle point problem is constructed for the splitted problem. Block relaxation-Uzawa iterative solution method is applied to this resulting saddle point problem. Existence of a solution to saddle point problem and convergence of the iterative method are proved.
作者简介
A. Lapin
Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
编辑信件的主要联系方式.
Email: avlapine@mail.ru
俄罗斯联邦, Kazan, 420008
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