PRECONDITIONERS FOR SADDLE POINT SYSTEMS WITH TRACE CONSTRAINTS COUPLING 2D AND 1D DOMAINS

被引：18
作者：
Kuchta, Miroslav [1 ]
Nordaas, Magne [2 ]
Verschaeve, Joris C. G. [1 ]
Mortensen, Mikael [1 ,2 ]
Mardal, Kent-Andre [1 ,2 ]
机构：
[1] Univ Oslo, Dept Math, Div Mech, Oslo, Norway
[2] Ctr Biomed Comp, Simula Res Lab, N-1325 Lysaker, Norway
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2016年 / 38卷 / 06期
关键词：
preconditioning; saddle-point problem; Lagrange multipliers; FINITE-ELEMENT-METHOD; APPROXIMATION; PERFORMANCE; SPACES; NORMS;
D O I：
10.1137/15M1052822
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study preconditioners for a model problem describing the coupling of two elliptic subproblems posed over domains with different topological dimension by a parameter dependent constraint. A pair of parameter robust and efficient preconditioners is proposed and analyzed. Robustness and efficiency of the preconditioners is demonstrated by numerical experiments.
引用
收藏
页码：B962 / B987
页数：26
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