Analysis of a family of HDG methods for second order elliptic problems

被引：15

作者：

Li, Binjie ^{[1
]}

Xie, Xiaoping ^{[1
]}

机构：

[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 307卷

基金：

中国国家自然科学基金;

关键词：

HDG; Convergence; Minimal regularity; Postprocessing; FINITE-ELEMENT METHODS; DISCONTINUOUS GALERKIN; UNIFORM-CONVERGENCE; RATIONAL APPROACH; STRAIN METHODS; ERROR ANALYSIS; HYBRID METHODS; STRESS MODES;

D O I：

10.1016/j.cam.2016.04.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze a family of hybridizable discontinuous Galerkin (HDG) methods for second order elliptic problems in two and three dimensions. The methods use piecewise polynomials of degree k >= 0 for both the flux and numerical trace, and piecewise polynomials of degree k + 1 for the potential. We establish error estimates for the numerical flux and potential under the minimal regularity condition. Moreover, we construct a local postprocessing for the flux, which produces a numerical flux with better conservation. Numerical experiments in two-space dimensions confirm our theoretical results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：37 / 51

页数：15

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