An Augmented Lagrangian Uzawa IterativeMethod for Solving Double Saddle-Point Systems with Semidefinite(2,2)Block and its Application to DLM/FDMethod for Elliptic Interface Problems

作     者：Cheng Wang Pengtao Sun 

作者机构：School of Mathematical SciencesTongji UniversityShanghai 200092China Department of Mathematical SciencesUniversity of Nevada Las Vegas4505Maryland ParkwayLas VegasNV 89154USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2021年第30卷第6期

页      面：124-143页

核心收录：

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

基　　金：supported by the 10 plus 10 project of Tongji University(No.4260141304/004/010) 

主　　题：Double saddle-point problem augmented Lagrangian Uzawa method elliptic interface problem distributed Lagrange multiplier/fictitious domain(DLM/FD)method 

摘      要：.In this paper,an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semidefinite(2,2)*** of the iterativemethod is proved under the assumption that the double saddle-point problem exists a unique *** application of the iterative method to the double saddle-point systems arising from the distributed Lagrange multiplier/fictitious domain(DLM/FD)finite element method for solving elliptic interface problems is also presented,in which the existence and uniqueness of the double saddle-point system is guaranteed by the analysis of the DLM/FD finite element *** experiments are conducted to validate the theoretical results and to study the performance of the proposed iterative method.