A uniformly convergent continuous–discontinuous Galerkin method for singularly perturbed problems of convection–diffusion type

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.11.033 ◽

2011 ◽

Vol 217 (9) ◽

pp. 4781-4790 ◽

Author(s):

Peng Zhu ◽

Ziqing Xie ◽

Shuzi Zhou

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Diffusion Type ◽

Convection Diffusion ◽

Uniformly Convergent

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Higher order uniformly convergent continuous/discontinuous Galerkin methods for singularly perturbed problems of convection-diffusion type

Applied Numerical Mathematics ◽

10.1016/j.apnum.2013.10.001 ◽

2014 ◽

Vol 76 ◽

pp. 48-59 ◽

Author(s):

Peng Zhu ◽

Shenglan Xie

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Singularly Perturbed ◽

Galerkin Methods ◽

Singularly Perturbed Problems ◽

Diffusion Type ◽

Convection Diffusion ◽

Uniformly Convergent

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Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems

CALCOLO ◽

10.1007/s10092-021-00445-2 ◽

2021 ◽

Vol 58 (4) ◽

Author(s):

Yao Cheng ◽

Yanjie Mei

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Local Discontinuous Galerkin

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Higher order uniformly convergent NIPG methods for 1-d singularly perturbed problems of convection–diffusion type

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.02.021 ◽

2015 ◽

Vol 39 (22) ◽

pp. 6806-6816 ◽

Author(s):

Peng Zhu ◽

Yubo Yang ◽

Yunhui Yin

Keyword(s):

Higher Order ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Diffusion Type ◽

Convection Diffusion ◽

Uniformly Convergent

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Nodal superconvergence of the local discontinuous Galerkin method for singularly perturbed problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.07.031 ◽

2018 ◽

Vol 330 ◽

pp. 95-116 ◽

Author(s):

Huiqing Zhu ◽

Fatih Celiker

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Local Discontinuous Galerkin

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The Discontinuous Galerkin Method for Singularly Perturbed Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-642-18775-9_72 ◽

2004 ◽

pp. 736-745

Author(s):

Hans-Görg Roos ◽

Helena Zarin

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Singularly Perturbed ◽

Singularly Perturbed Problems

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A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125937 ◽

2021 ◽

Vol 397 ◽

pp. 125937

Author(s):

Ziming Dong ◽

Hong Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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Solving a non-linear fractional convection-diffusion equation using local discontinuous Galerkin method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.003 ◽

2021 ◽

Vol 165 ◽

pp. 22-34

Author(s):

Hamid Safdari ◽

Majid Rajabzadeh ◽

Moein Khalighi

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Local Discontinuous Galerkin ◽

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Two-grid discontinuous Galerkin method for convection–diffusion-reaction equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113903 ◽

2021 ◽

pp. 113903

Author(s):

Liuqiang Zhong ◽

Yue Xuan ◽

Jintao Cui

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations

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An Adaptive Staggered Discontinuous Galerkin Method for the Steady State Convection–Diffusion Equation

Journal of Scientific Computing ◽

10.1007/s10915-018-0695-9 ◽

2018 ◽

Vol 77 (3) ◽

pp. 1490-1518 ◽

Author(s):

Jie Du ◽

Eric Chung

Keyword(s):

Steady State ◽

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Staggered Discontinuous Galerkin Method

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Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems

Journal of Numerical Mathematics ◽

10.1515/156939504323074504 ◽

2004 ◽

Vol 12 (2) ◽

Author(s):

M. Feistauer ◽

K. Švadlenka

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Method Of Lines ◽

Singularly Perturbed ◽

Linear Problems

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