A posteriori error estimate for discontinuous Galerkin finite element method on polytopal mesh-Reference-Cited by-同舟云学术

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

Published:2019-11-21 Issue:3 Volume:36 Page:601-616
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Cui Jintao¹^ORCID,Gao Fuzheng²,Sun Zhengjia³^ORCID,Zhu Peng⁴

Affiliation:

1. Department of Applied MathematicsThe Hong Kong Polytechnic University, Hung Hom Hong Kong

2. School of MathematicsShandong University Jinan Shandong China

3. College of EconomicsShenzhen University Shenzhen China

4. College of Mathematics, Physics and Information EngineeringJiaxing University Jiaxing China

Funder

National Natural Science Foundation of China

Natural Science Foundation of Zhejiang Province

China Postdoctoral Science Foundation

NSAF Joint Fund

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22443

Reference53 articles.

1. Theory of adaptive finite element methods: An introduction

2. A-posteriori error estimates for the finite element method

3. A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems

4. An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A posteriori error estimate of the weak Galerkin finite element method solving the Stokes problems on polytopal meshes;Numerical Methods for Partial Differential Equations;2024-03-27

2. A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes;SIAM Journal on Numerical Analysis;2023-10-17

3. Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes;Numerical Algorithms;2023-08-10

4. A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems;Scientific Reports;2023-07-04

5. A Posteriori Error Estimates of Edge Residual-Type of Weak Galerkin Mixed FEM Solving Second-Order Elliptic Problems on Polytopal Mesh;International Journal of Computational Methods;2022-04-18

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