A Least-Squares-Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations

Lin Mu; Junping Wang; Xiu Ye

doi:10.1137/16m1083244

A Least-Squares-Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations

SIAM Journal on Scientific Computing ◽

10.1137/16m1083244 ◽

2017 ◽

Vol 39 (4) ◽

pp. A1531-A1557 ◽

Cited By ~ 4

Author(s):

Lin Mu ◽

Junping Wang ◽

Xiu Ye

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Elliptic Equations ◽

Second Order ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Second Order Elliptic Equations ◽

Element Method

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A Least Square Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations in Non-Divergence Form

Acta Mathematica Scientia ◽

10.1007/s10473-020-0521-y ◽

2020 ◽

Vol 40 (5) ◽

pp. 1553-1562

Author(s):

Peng Zhu ◽

Xiaoshen Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Equations ◽

Divergence Form ◽

Second Order ◽

Least Square ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Second Order Elliptic Equations

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A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form

Mathematics of Computation ◽

10.1090/mcom/3220 ◽

2017 ◽

Vol 87 (310) ◽

pp. 515-545 ◽

Cited By ~ 30

Author(s):

Chunmei Wang ◽

Junping Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Equations ◽

Divergence Form ◽

Second Order ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Primal Dual ◽

Second Order Elliptic Equations

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Weak Galerkin finite element method with second-order accuracy in time for parabolic problems

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.023 ◽

2019 ◽

Vol 90 ◽

pp. 118-123 ◽

Cited By ~ 4

Author(s):

Shiping Zhou ◽

Fuzheng Gao ◽

Benxing Li ◽

Zhengjia Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Second Order ◽

Parabolic Problems ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Order Accuracy ◽

Galerkin Finite Element ◽

Element Method

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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 least-squares-based weak Galerkin finite element method for elliptic interface problems

Proceedings - Mathematical Sciences ◽

10.1007/s12044-019-0518-4 ◽

2019 ◽

Vol 129 (5) ◽

Author(s):

Bhupen Deka ◽

Papri Roy

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Interface Problems ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Elliptic Interface Problems ◽

Element Method

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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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A discontinuous least-squares finite-element method for second-order elliptic equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1445230 ◽

2018 ◽

Vol 96 (3) ◽

pp. 557-567 ◽

Cited By ~ 1

Author(s):

Xiu Ye ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations ◽

Element Method

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A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113525 ◽

2021 ◽

Vol 394 ◽

pp. 113525

Author(s):

Xiu Ye ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

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A weak Galerkin finite element method for two-dimensional coupled burgers’ equation by using polynomials of order (k, k – 1, k – 1)

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2019.1706844 ◽

2020 ◽

Vol 23 (4) ◽

pp. 777-790

Author(s):

Ahmed Jabbar Hussein ◽

Hashim A. Kashkool

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Burgers Equation ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Coupled Burgers Equation ◽

Element Method

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A Modified Weak Galerkin Finite Element Method for Sobolev Equation

Journal of Computational Mathematics ◽

10.4208/jcm.1502-m4509 ◽

2015 ◽

Vol 33 (3) ◽

pp. 307-322 ◽

Cited By ~ 5

Author(s):

Fuzheng Gao and Xiaoshen Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Sobolev Equation ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

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