A posteriori error estimate for discontinuous Galerkin finite element method on polytopal mesh

被引：4

作者：

Cui, Jintao ^{[1
]}

Cao, Fuzheng ^{[2
]}

Sun, Zhengjia ^{[3
]}

Zhu, Peng ^{[4
]}

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China

[2] Shandong Univ, Sch Math, Jinan, Shandong, Peoples R China

[3] Shenzhen Univ, Coll Econ, Shenzhen 518060, Guangdong, Peoples R China

[4] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2020年 / 36卷 / 03期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

a posteriori error estimate; discontinuous Galerkin methods; polytopal mesh; second-order elliptic problems; ELLIPTIC PROBLEMS; DIFFUSION-PROBLEMS; CONVERGENCE; APPROXIMATIONS; SUPERCONVERGENCE; CONSTRUCTION;

D O I：

10.1002/num.22443

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we derive a posteriori error estimates for discontinuous Galerkin finite element method on polytopal mesh. We construct a reliable and efficient a posteriori error estimator on general polygonal or polyhedral meshes. An adaptive algorithm based on the error estimator and DG method is proposed to solve a variety of test problems. Numerical experiments are performed to illustrate the effectiveness of the algorithm.

引用

页码：601 / 616

页数：16

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