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

被引：91
|
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
收藏
页码：31 / 34
页数：4
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