SUPERCLOSENESS ANALYSIS OF STABILIZER FREE WEAK GALERKIN FINITE ELEMENT METHOD FOR CONVECTION-DIFFUSION EQUATIONS

Ahmed AL-Taweel;  ;  Saqib Hussain;  Xiaoshen Wang;  ;

doi:10.11948/20200298

SUPERCLOSENESS ANALYSIS OF STABILIZER FREE WEAK GALERKIN FINITE ELEMENT METHOD FOR CONVECTION-DIFFUSION EQUATIONS

Journal of Applied Analysis & Computation ◽

10.11948/20200298 ◽

2020 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Ahmed AL-Taweel ◽

◽

Saqib Hussain ◽

Xiaoshen Wang ◽

◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Element Method

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An analysis of the weak Galerkin finite element method for convection–diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.064 ◽

2019 ◽

Vol 346 ◽

pp. 612-621 ◽

Cited By ~ 1

Author(s):

Tie Zhang ◽

Yanli Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Element Method

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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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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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The local discontinuous Galerkin finite element method for a class of convection–diffusion equations

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2013 ◽

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pp. 734-752 ◽

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Author(s):

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Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Diffusion Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Discontinuous Galerkin Finite Element ◽

Element Method

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Journal of Scientific Computing ◽

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2020 ◽

Vol 85 (2) ◽

Author(s):

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Shenglan Xie

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Problem ◽

Shishkin Mesh ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Element Method

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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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A Petrov--Galerkin Finite Element Method for Fractional Convection-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/140992278 ◽

2016 ◽

Vol 54 (1) ◽

pp. 481-503 ◽

Cited By ~ 31

Author(s):

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Raytcho Lazarov ◽

Zhi Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Element Method

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10.4208/eajam.260617.151117a ◽

2018 ◽

Vol 8 (1) ◽

pp. 181-193 ◽

Cited By ~ 15

Author(s):

Jun Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Fractional Diffusion 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)

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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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