Hybrid high-order methods for variable-diffusion problems on general meshes

被引：93

作者：

Di Pietro, Daniele A. ^{[1
]}

Ern, Alexandre ^{[2
]}

机构：

[1] Univ Montpellier 2, I3M, F-34057 Montpellier 5, France

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

来源：

COMPTES RENDUS MATHEMATIQUE | 2015年 / 353卷 / 01期

关键词：

ELLIPTIC PROBLEMS; ARBITRARY-ORDER;

D O I：

10.1016/j.crma.2014.10.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the Hybrid High-Order method introduced by the authors for the Poisson problem to problems with heterogeneous/anisotropic diffusion. The cornerstone is a local discrete gradient reconstruction from element- and face-based polynomial degrees of freedom. Optimal error estimates are proved. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：31 / 34

页数：4

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