A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/14.2.257 ◽

1994 ◽

Vol 14 (2) ◽

pp. 257-276 ◽

Author(s):

J. J. H. MILLER ◽

S. WANG

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Advection Diffusion ◽

Triangular Elements ◽

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A Petrov–Galerkin finite element method for the fractional advection–diffusion equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.06.013 ◽

2016 ◽

Vol 309 ◽

pp. 388-410 ◽

Author(s):

Yanping Lian ◽

Yuping Ying ◽

Shaoqiang Tang ◽

Stephen Lin ◽

Gregory J. Wagner ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

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The Discontinuous Galerkin Finite Element Method for Singularly Perturbed Problems

Lecture Notes in Computational Science and Engineering - Challenges in Scientific Computing - CISC 2002 ◽

10.1007/978-3-642-19014-8_12 ◽

2003 ◽

pp. 246-267 ◽

Author(s):

Hans-Görg Roos ◽

Helena Zarin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Singularly Perturbed ◽

Galerkin Finite Element Method ◽

Singularly Perturbed Problems ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

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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 ◽

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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 ◽

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 ◽

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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 ◽

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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) ◽

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 ◽

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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 ◽

Author(s):

T. Linss

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Problem ◽

Shishkin Mesh ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

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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 ◽

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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 ◽

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Galerkin finite element method for nonlinear fractional differential equations

Numerical Algorithms ◽

10.1007/s11075-020-01032-2 ◽

2021 ◽

Author(s):

Khadijeh Nedaiasl ◽

Raziyeh Dehbozorgi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Fractional Differential Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

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