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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.