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 ◽

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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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 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 ◽

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 ◽

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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 ◽

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 ◽

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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 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 ◽

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 ◽

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A new primal-dual weak Galerkin finite element method for ill-posed elliptic Cauchy problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112629 ◽

2020 ◽

Vol 371 ◽

pp. 112629 ◽

Author(s):

Chunmei Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Cauchy Problems ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Primal Dual ◽

Ill Posed ◽

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A Primal-Dual Weak Galerkin Finite Element Method for Fokker--Planck Type Equations

SIAM Journal on Numerical Analysis ◽

10.1137/17m1126618 ◽

2020 ◽

Vol 58 (5) ◽

pp. 2632-2661 ◽

Author(s):

Chunmei Wang ◽

Junping Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Primal Dual ◽

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 ◽

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 ◽

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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 ◽

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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 ◽

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