A hybridizable direct discontinuous Galerkin method for elliptic problems

被引：0
作者：
Huiqiang Yue
Jian Cheng
Tiegang Liu
Vladimir Shaydurov
机构：
[1] Beihang University,Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education, School of Mathematics and Systems Science
来源：
Boundary Value Problems | / 2016卷
关键词：
hybridizable method; discontinuous Galerkin; elliptic problem;
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学科分类号：
摘要：
The aim of this work is to develop a hybridizable discontinuous Galerkin method for elliptic problems. In the proposed method, the numerical flux functions are constructed from the weak formulation of primal equation directly without converting the second-order equation to a first-order system. In order to guarantee the stability and convergence of the method, we derive a computable lower bound for the constant in numerical flux functions. We also establish a prior error estimation and give some theoretical analysis for the proposed method. Finally, a numerical experiment is presented to verify the theoretical results.
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