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

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.