Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Xiu Ye & Shangyou Zhang

doi:10.4208/nmtma.oa-2020-0120

Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0120 ◽

2021 ◽

Vol 14 (3) ◽

pp. 613-623

Author(s):

Xiu Ye & Shangyou Zhang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

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A Systematic Study on Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-017-0496-6 ◽

2017 ◽

Vol 74 (3) ◽

pp. 1369-1396 ◽

Cited By ~ 6

Author(s):

Junping Wang ◽

Ruishu Wang ◽

Qilong Zhai ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Systematic Study ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

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Convergence of Adaptive Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-020-01387-7 ◽

2021 ◽

Vol 86 (1) ◽

Author(s):

Yingying Xie ◽

Liuqiang Zhong

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

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Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.003 ◽

2021 ◽

Vol 162 ◽

pp. 81-105

Author(s):

Bhupen Deka ◽

Naresh Kumar

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Parabolic Equations ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods

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$(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2020-0020 ◽

2021 ◽

Vol 13 (3) ◽

pp. 554-568

Author(s):

global sci

Keyword(s):

Finite Element ◽

Convergence Analysis ◽

Finite Element Methods ◽

Elliptic Equations ◽

Second Order ◽

Order Convergence ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Equations

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A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-013-9771-3 ◽

2013 ◽

Vol 59 (2) ◽

pp. 496-511 ◽

Cited By ~ 32

Author(s):

Long Chen ◽

Junping Wang ◽

Xiu Ye

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Weak Galerkin ◽

A Posteriori Error ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

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A weak Galerkin finite element method for second-order elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.10.003 ◽

2013 ◽

Vol 241 ◽

pp. 103-115 ◽

Cited By ~ 225

Author(s):

Junping Wang ◽

Xiu Ye

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Second Order Elliptic Problems ◽

Element Method

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Weak-Galerkin finite element methods for a second-order elliptic variational inequality

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.04.006 ◽

2018 ◽

Vol 337 ◽

pp. 677-688 ◽

Cited By ~ 6

Author(s):

Qingguang Guan ◽

Max Gunzburger ◽

Wenju Zhao

Keyword(s):

Finite Element ◽

Variational Inequality ◽

Finite Element Methods ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Elliptic Variational Inequality ◽

Galerkin Finite Element Methods

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A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.07.009 ◽

2017 ◽

Vol 74 (10) ◽

pp. 2243-2252 ◽

Cited By ~ 1

Author(s):

Qilong Zhai ◽

Xiu Ye ◽

Ruishu Wang ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

Second Order Elliptic Problems

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A new weak Galerkin finite element scheme for general second-order elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.021 ◽

2018 ◽

Vol 344 ◽

pp. 701-715 ◽

Cited By ~ 1

Author(s):

Guanrong Li ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

Second Order Elliptic Problems

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Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113543 ◽

2021 ◽

pp. 113543

Author(s):

Chunmei Wang ◽

Ludmil Zikatanov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Equations ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Convection Diffusion ◽

Primal Dual ◽

Galerkin Finite Element Methods

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