CONSTRAINT PRECONDITIONING FOR THE COUPLED STOKES-DARCY SYSTEM

被引：25
|
作者：
Chidyagwai, Prince [1 ]
Ladenheim, Scott [2 ]
Szyld, Daniel B. [3 ]
机构：
[1] Loyola Univ Maryland, Dept Math & Stat, Baltimore, MD 21210 USA
[2] Univ Manchester, Sch Comp Sci, IT Bldg, Manchester M13 9PL, Lancs, England
[3] Temple Univ, Dept Math, Philadelphia, PA 19122 USA
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2016年 / 38卷 / 02期
基金：
美国国家科学基金会;
关键词：
Stokes-Darcy flow; iterative methods; indefinite preconditioners; constraint preconditioners; spectral equivalence; field-of-values equivalence; SADDLE-POINT PROBLEMS; LINEAR-SYSTEMS; NUMERICAL-SOLUTION; EQUATIONS; SURFACE; FLOW;
D O I：
10.1137/15M1032156
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The use of a constraint (indefinite) preconditioner for the iterative solution of the linear system arising from the finite element discretization of coupled Stokes-Darcy flow is studied. Spectral and field-of-values bounds for the preconditioned system which are independent of the underlying mesh size are presented. Numerical experiments on several two-and three-dimensional problems illustrate the effectiveness of our approach.
引用
收藏
页码：A668 / A690
页数：23
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