A lower bound for the inf-sup condition's constant for the divergence operator

被引：0
|
作者：
Del Pino, Stephane [1 ]
Razafison, Ulrich [2 ]
Yakoubi, Driss [2 ]
机构：
[1] CEA, Dam Ile de France, Dept Sci Simulat & Informat, F-91297 Bruyeres Le Chatel, Arpajon, France
[2] Univ Paris 06, UPMC, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2008年 / 346卷 / 9-10期
关键词：
D O I：
10.1016/j.crma.2008.03.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The inf-sup condition plays an important role in problems from fluid mechanics. The purpose of this Note is to give, for any connected bounded open set omega with a Lipschitz-continuous boundary, a lower bound for the inf-sup condition's constant that only depends on the norm of the harmonic trace lifting on omega and on the sup(Omega superset of(omega) over bar) beta(Omega)/c(p)(Omega) where c(p)(Omega) > 1 is a constant defined by parallel to upsilon parallel to(H1(Omega)) <= c(p)(Omega)vertical bar upsilon vertical bar(H1(Omega)).
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收藏
页码：533 / 538
页数：6
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