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 

机构地区：[1]School of Mathematical Sciences,Tongji University,Shanghai 200092,China [2]Department of Mathematical Sciences,University of Nevada Las Vegas,4505Maryland Parkway,Las Vegas,NV 89154,USA

出　　处：《Communications in Computational Physics》2021年第6期124-143,共20页计算物理通讯（英文）

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

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)block.Convergence of the iterativemethod is proved under the assumption that the double saddle-point problem exists a unique solution.An 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 method.Numerical experiments are conducted to validate the theoretical results and to study the performance of the proposed iterative method.

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

分 类 号：O17[理学—数学]