Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian

被引：32

作者：

Burman, Erik ^{[1
]}

Ern, Alexandre ^{[2
]}

机构：

[1] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England

[2] Univ Paris Est, CERMICS, Ecole Ponts, F-77455 Marne La Vallee 2, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2008年 / 346卷 / 17-18期

关键词：

D O I：

10.1016/j.crma.2008.07.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A discontinuous Galerkin method is analyzed to approximate the nonlinear Laplacian model problem. The salient feature of the proposed scheme is that it is endowed with a discrete variational principle. The convergence of the discrete approximations to the exact solution is proven. To cite this article: E. Burman, A. Ern, C R. Acad. Sci. Paris, Ser. I 346 (2008). (C) 2008 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：1013 / 1016

页数：4

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