Domain decomposition and Uzawa-type iterative method for elliptic variational inequality


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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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