Superconvergence analysis of second and third order rectangular edge elements with applications to Maxwell’s equations-Reference-Cited by-同舟云学术

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Superconvergence analysis of second and third order rectangular edge elements with applications to Maxwell’s equations

Published:2018-02 Issue: Volume:329 Page:195-218
ISSN:0045-7825
Container-title:Computer Methods in Applied Mechanics and Engineering
language:en
Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Huang Yunqing,Li Jichun,Wu Chao

Funder

Nature Science Foundation of China

National Science Foundation

NSFC

Hunan Education Department

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference35 articles.

1. Asymptotically exact a posteriori error estimators, Part I: grids with superconvergence;Bank;SIAM J. Numer. Anal.,2003

2. Asymptotically exact a posteriori error estimators, Part II: general unstructured grids;Bank;SIAM J. Numer. Anal.,2003

3. Uniform convergence and superconvergence of mixed finite element methods on anisotropically refined grids;Li;SIAM J. Numer. Anal.,2000

4. Natural superconvergence points in three-dimensional finite elements;Lin;SIAM J. Numer. Anal.,2008

5. Superconvergence of recovered gradients of discrete time/piecewise linear Galerkin approximations for linear and nonlinear parabolic problems;Wheeler;Numer. Methods Partial Differential Equations,1994

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1. Superconvergence analysis of finite element approximations to Maxwell's equations in both metamaterials and PMLs;Computers & Mathematics with Applications;2024-10

2. Function and Curl Recovery for the Lowest Order Triangular Edge Element;Journal of Scientific Computing;2022-10-28

3. Superconvergence results for nonlinear Klein-Gordon-Schrödinger equation with backward differential formula finite element method;Computers & Mathematics with Applications;2022-07

4. Superconvergence recovery of cubic edge elements for Maxwell’s equations;Journal of Computational and Applied Mathematics;2021-06

5. Superconvergence of the second order cubic edge elements with Maxwell’s equations;Applied Mathematics and Computation;2020-12

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