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

Guanrong Li;  ; Yanping Chen; Yunqing Huang;  ;

doi:10.3934/era.2020042

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

Electronic Research Archive ◽

10.3934/era.2020042 ◽

2020 ◽

Vol 28 (2) ◽

pp. 821-836

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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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 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 new $$P_0$$ weak Galerkin finite element scheme for second-order problems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01521-7 ◽

2021 ◽

Vol 40 (4) ◽

Author(s):

AllahBakhsh Yazdani Charati ◽

Hamid Momeni ◽

Mohammed S. Cheichan

Keyword(s):

Finite Element ◽

Second Order ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme

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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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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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A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2010.534138 ◽

2011 ◽

Vol 88 (10) ◽

pp. 2167-2177 ◽

Cited By ~ 7

Author(s):

Dongyang Shi ◽

Caixia Wang

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Finite Element Scheme ◽

Element Scheme ◽

Second Order Elliptic Problems ◽

Low Order

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A study of mixed problem for second order elliptic problems using modified weak Galerkin finite element method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113770 ◽

2021 ◽

pp. 113770 ◽

Cited By ~ 1

Author(s):

Saqib Hussain ◽

Xiaoshen Wang ◽

Ahmed Al-Taweel

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Problem ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Second Order Elliptic Problems ◽

Element Method

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Superconvergence of weak Galerkin finite element approximation for second order elliptic problems by L2-projections

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.11.065 ◽

2014 ◽

Vol 227 ◽

pp. 610-621 ◽

Cited By ~ 3

Author(s):

Anna Harris ◽

Stephen Harris

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Second Order ◽

Element Approximation ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

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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