A weak Galerkin finite element method for nonlinear conservation laws

Xiu Ye;  ; Shangyou Zhang; Peng Zhu;  ;

doi:10.3934/era.2020097

A weak Galerkin finite element method for nonlinear conservation laws

Electronic Research Archive ◽

10.3934/era.2020097 ◽

2021 ◽

Vol 29 (1) ◽

pp. 1897-1923

Author(s):

Xiu Ye ◽

◽

Shangyou Zhang ◽

Peng Zhu ◽

◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Conservation Laws ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Nonlinear Conservation Laws ◽

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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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 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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A Hybridized Weak Galerkin Finite Element Method for Incompressible Stokes Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0021 ◽

2019 ◽

Vol 12 (4) ◽

pp. 1012-1038 ◽

Cited By ~ 1

Author(s):

global sci

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

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A Weak Galerkin Finite Element Method for the Navier-Stokes Equations

Communications in Computational Physics ◽

10.4208/cicp.oa-2016-0267 ◽

2018 ◽

Vol 23 (3) ◽

Cited By ~ 2

Author(s):

Jiachuan Zhang ◽

Kai Zhang ◽

Jingzhi Li ◽

Xiaoshen Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Navier Stokes Equations ◽

Galerkin Finite Element ◽

Element Method

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An adaptive weak Galerkin finite element method with hierarchical bases for the elliptic problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22473 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1280-1303

Author(s):

Jiachuan Zhang ◽

Jingshi Li ◽

Jingzhi Li ◽

Kai Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problem ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Hierarchical Bases ◽

Element Method

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Error Estimate for Two-Dimensional Coupled Burgers’ Equations By Weak Galerkin Finite Element Method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1530/1/012065 ◽

2020 ◽

Vol 1530 ◽

pp. 012065

Author(s):

Hashim A. Kashkool ◽

Ahmed J. Hussein

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Burgers Equations ◽

Element Method

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The weak Galerkin finite element method for the transport-reaction equation

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109399 ◽

2020 ◽

Vol 410 ◽

pp. 109399

Author(s):

Tie Zhang ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Reaction Equation ◽

Transport Reaction ◽

Galerkin Finite Element ◽

Element Method

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A modified weak Galerkin finite element method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.04.014 ◽

2014 ◽

Vol 271 ◽

pp. 319-327 ◽

Cited By ~ 19

Author(s):

X. Wang ◽

N.S. Malluwawadu ◽

F. Gao ◽

T.C. McMillan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

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