A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113926 ◽

2021 ◽

pp. 113926

Author(s):

Ying Liu ◽

Gang Wang ◽

Mengyao Wu ◽

Yufeng Nie

Keyword(s):

Finite Element Method ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Posteriori Error Estimator ◽

A Posteriori Error ◽

Galerkin Finite Element

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An a posteriori error estimator for the weak Galerkin least-squares finite-element method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.09.049 ◽

2019 ◽

Vol 362 ◽

pp. 383-399 ◽

Author(s):

James H. Adler ◽

Xiaozhe Hu ◽

Lin Mu ◽

Xiu Ye

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Weak Galerkin ◽

Posteriori Error Estimator ◽

A Posteriori Error

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ELEMENTWISE DECOMPOSITION OF A POSTERIORI ERROR ESTIMATOR BASED ON REFERENCE SOLUTION FOR HP-ADAPTIVE FINITE ELEMENT METHOD

Application Mathematics and Informatics ◽

10.30970/vam.2018.26.9835 ◽

2018 ◽

Vol 26 ◽

Author(s):

R Drebotiy ◽

H Shynkarenko

Keyword(s):

Finite Element Method ◽

Posteriori Error ◽

Adaptive Finite Element Method ◽

Error Estimator ◽

Adaptive Finite Element ◽

Reference Solution ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Posteriori Error Estimator ◽

A Posteriori Error

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Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method (II)

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(98)00010-3 ◽

1998 ◽

Vol 163 (1-4) ◽

pp. 159-170 ◽

Author(s):

Zhimin Zhang ◽

J.Z. Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

The Finite Element Method ◽

Posteriori Error Estimator ◽

A Posteriori Error ◽

Recovery Technique

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Robust topology optimization using a posteriori error estimator for the finite element method

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-018-1985-4 ◽

2018 ◽

Vol 58 (4) ◽

pp. 1619-1632 ◽

Author(s):

Vladislav Pimanov ◽

Ivan Oseledets

Keyword(s):

Finite Element Method ◽

Topology Optimization ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

The Finite Element Method ◽

Posteriori Error Estimator ◽

A Posteriori Error ◽

Robust Topology Optimization

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A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.08.002 ◽

2021 ◽

Vol 99 ◽

pp. 73-83

Author(s):

Ying Liu ◽

Yufeng Nie

Keyword(s):

Finite Element Method ◽

A Priori ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Parabolic Problems ◽

A Posteriori ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

A Posteriori Error ◽

Galerkin Finite Element

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A posteriori error estimator for eigenvalue problems by mixed finite element method

Science China Mathematics ◽

10.1007/s11425-013-4614-0 ◽

2013 ◽

Vol 56 (5) ◽

pp. 887-900 ◽

Author(s):

ShangHui Jia ◽

HongTao Chen ◽

HeHu Xie

Keyword(s):

Finite Element Method ◽

Eigenvalue Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Posteriori Error Estimator ◽

A Posteriori Error

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Guaranteed and asymptotically exact a posteriori error estimator for lowest-order Raviart–Thomas mixed finite element method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.03.002 ◽

2021 ◽

Vol 165 ◽

pp. 357-375

Author(s):

Kwang-Yeon Kim

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Posteriori Error Estimator ◽

A Posteriori Error

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AN A-POSTERIORI ERROR ESTIMATOR FOR THE STABLE GENERALIZED/EXTENDED FINITE ELEMENT METHOD

10.20906/cps/cilamce2017-0868 ◽

2017 ◽

Author(s):

Rafael Marques Lins ◽

Sergio Persival Baroncini Proença ◽

Carlos Armando Magalhães Duarte

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Extended Finite Element Method ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Extended Finite Element ◽

Posteriori Error Estimator ◽

A Posteriori Error

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A residual-based a posteriori error estimator for the hp-finite element method for Maxwellʼs equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2012.02.007 ◽

2012 ◽

Vol 62 (8) ◽

pp. 922-940 ◽

Author(s):

M. Bürg

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Posteriori Error Estimator ◽

A Posteriori Error ◽

Element Method ◽

Hp Finite Element

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A posteriori error estimator and h-adaptive finite element method for diffusion-advection-reaction problems

Recent Advances in Computational Mechanics ◽

10.1201/b16513-43 ◽

2014 ◽

pp. 329-337

Author(s):

O Ostapov ◽

O Vovk ◽

H Shynkarenko

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Posteriori Error ◽

Adaptive Finite Element Method ◽

Error Estimator ◽

Adaptive Finite Element ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Posteriori Error Estimator ◽

A Posteriori Error

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