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

领域分解和 Uzawa 类型为椭圆形的变化不平等的反复的方法

作     者:Lapin, A. V. 

作者机构:Kazan Volga Reg Fed Univ Inst Computat Math & Informat Technol Dept Computat Math Kazan 420008 Russia 

出 版 物:《LOBACHEVSKII JOURNAL OF MATHEMATICS》 (罗巴切夫斯基数学杂志)

年 卷 期:2017年第38卷第5期

页      面:833-842页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基  金:Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [16-01-00408] 

主  题:Variational inequality finite element method domain decomposition method constrained saddle point problem parallel iterative algorithm 

摘      要: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.

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