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：
中国国家自然科学基金; 中国博士后科学基金;
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.
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页码：601 / 616
页数：16
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