Inf-sup condition for the 3-D P2-iso-P1 Taylor-Hood finite element;: application to Maxwell equations

被引：19

作者：

Ciarlet, P

Girault, V

机构：

[1] ENSTA UMA, F-75739 Paris 15, France

[2] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2002年 / 335卷 / 10期

关键词：

D O I：

10.1016/S1631-073X(02)02564-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the discretization of Maxwell equations, proposed in [3,2,1]. The electromagnetic field and the Lagrange multiplier related to its divergence are approximated numerically by the P-2-iso-P-1 Taylor-Hood Finite Element. Singular test-functions are added when the domain is non-convex, with a non-smooth boundary. The aim of this Note is to establish a discrete inf-sup condition. The result can be applied to the discretization of the velocity-pressure Stokes system [7].

引用

页码：827 / 832

页数：6

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