Local ultraconvergence of finite element methods for second‐order elliptic problems with singularity-Reference-Cited by-同舟云学术

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Local ultraconvergence of finite element methods for second‐order elliptic problems with singularity

Published:2020-11-26 Issue:3 Volume:37 Page:2132-2149
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

He Wenming¹^ORCID,Zhao Ren²^ORCID,Li Guanrong¹,Li Wulan³

Affiliation:

1. Department of Mathematics Lingnan Normal University Zhanjiang Guangdong China

2. School of Mechanical Engineering and Automation Harbin Institute of Technology Shenzhen China

3. Guizhou Key Laboratory of Economics System Simulation Guizhou University of Finance and Economics Guiyang China

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22668

Reference32 articles.

1. M. L.Allen Sharp estimates for the Poincare‐Friedrichs inequality on special domains Master Thesis Texas Tech Univ. 1994:1–50.

2. A new approach to Richardson extrapolation in the finite element method for second order elliptic problems

3. Asymptotic Error Expansions for the Finite Element Method for Second Order Elliptic Problems in $R^N$, $N\geq2$. I: Local Interior Expansions

4. Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I:A PrioriEstimates

5. Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence

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