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) ◽

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 ◽

Download Full-text

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 ◽

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 ◽

Download Full-text

Uniform supercloseness of Galerkin finite element method for convection–diffusion problems with characteristic layers

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.09.028 ◽

2018 ◽

Vol 75 (2) ◽

pp. 444-458 ◽

Author(s):

Xiaowei Liu ◽

Jin Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Characteristic Layers ◽

Diffusion Problems ◽

Download Full-text

Implicit-Explicit Runge-Kutta Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_42 ◽

2008 ◽

pp. 355-362

Author(s):

M. Vlasák ◽

V. Dolejší

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Discontinuous Galerkin Finite Element ◽

Runge Kutta ◽

Diffusion Problems ◽

Download Full-text

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 ◽

Download Full-text

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 ◽

Download Full-text

A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drn083 ◽

2009 ◽

Vol 30 (4) ◽

pp. 1206-1234 ◽

Author(s):

H. Egger ◽

J. Schoberl

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Discontinuous Galerkin Finite Element ◽

Diffusion Problems ◽

Download Full-text

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 ◽

Download Full-text

On the application of mass lumping in the Petrov–Galerkin finite element method for convection-diffusion problems

Reports of the National Academy of Sciences of Ukraine ◽

10.15407/dopovidi2014.05.039 ◽

2014 ◽

pp. 39-44

Author(s):

S.V. Siryk ◽

◽

N.N. Salnikov ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Mass Lumping ◽

Convection Diffusion ◽

Diffusion Problems ◽

Download Full-text

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 ◽

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 ◽

Download Full-text

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 ◽

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 ◽

Download Full-text