A Uniformly Convergent Weak Galerkin Finite Element Method on Shishkin Mesh for 1d Convection–Diffusion Problem

Peng Zhu; Shenglan Xie

doi:10.1007/s10915-020-01345-3

A Uniformly Convergent Weak Galerkin Finite Element Method on Shishkin Mesh for 1d Convection–Diffusion Problem

Journal of Scientific Computing ◽

10.1007/s10915-020-01345-3 ◽

2020 ◽

Vol 85 (2) ◽

Author(s):

Peng Zhu ◽

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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Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/20.4.621 ◽

2000 ◽

Vol 20 (4) ◽

pp. 621-632 ◽

Cited By ~ 31

Author(s):

T. Linss

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Problem ◽

Shishkin Mesh ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

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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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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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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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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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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