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

页码：B962 / B987

页数：26

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