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)).

引用

页码：533 / 538

页数：6

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