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            weak Galerkin finite element method for solving singularly perturbed reaction–diffusion problems

Ahmed Al‐Taweel; Saqib Hussain; Xiaoshen Wang; Brian Jones

doi:10.1002/num.22415

A P 0 – P 0 weak Galerkin finite element method for solving singularly perturbed reaction–diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22415 ◽

2019 ◽

Vol 36 (2) ◽

pp. 213-227 ◽

Cited By ~ 1

Author(s):

Ahmed Al‐Taweel ◽

Saqib Hussain ◽

Xiaoshen Wang ◽

Brian Jones

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Diffusion Problems ◽

Element Method

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A Weak Galerkin Finite Element Method for Solving Nonlinear Convection–Diffusion Problems in One Dimension

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0621-3 ◽

2019 ◽

Vol 5 (2) ◽

Cited By ~ 1

Author(s):

Mohammed S. Cheichan ◽

Hashim A. Kashkool ◽

Fuzheng Gao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

One Dimension ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Nonlinear Convection ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Diffusion Problems ◽

Element Method

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A weak Galerkin finite element method for solving nonlinear convection-diffusion problems in two dimensions

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.02.043 ◽

2019 ◽

Vol 354 ◽

pp. 149-163 ◽

Cited By ~ 1

Author(s):

Mohammed S. Cheichan ◽

Hashim A. Kashkool ◽

Fuzheng Gao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensions ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Nonlinear Convection ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Diffusion Problems ◽

Element Method

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A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.05.021 ◽

2021 ◽

Author(s):

Şuayip Toprakseven

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Diffusion Convection ◽

Fractional Reaction ◽

Element Method

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BPS preconditioners for a weak Galerkin finite element method for 2D diffusion problems with strongly discontinuous coefficients

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.05.011 ◽

2018 ◽

Vol 76 (4) ◽

pp. 701-724

Author(s):

Binjie Li ◽

Xiaoping Xie ◽

Shiquan Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Coefficients ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Diffusion Problems ◽

Element Method

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A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems

SIAM Journal on Numerical Analysis ◽

10.1137/17m1152528 ◽

2018 ◽

Vol 56 (3) ◽

pp. 1482-1497 ◽

Cited By ~ 19

Author(s):

Runchang Lin ◽

Xiu Ye ◽

Shangyou Zhang ◽

Peng Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Singularly Perturbed ◽

Diffusion Reaction ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Element Method

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On the Uniform Convergence of the Weak Galerkin Finite Element Method for a Singularly-Perturbed Biharmonic Equation

Journal of Scientific Computing ◽

10.1007/s10915-019-01120-z ◽

2020 ◽

Vol 82 (1) ◽

Cited By ~ 1

Author(s):

Ming Cui ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Uniform Convergence ◽

Biharmonic Equation ◽

Singularly Perturbed ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

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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