Implicit–explicit multistep characteristic finite element methods for nonlinear convection–diffusion equations

Xiaohan Long; Chuanjun Chen

doi:10.1002/num.20222

Implicit–explicit multistep characteristic finite element methods for nonlinear convection–diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20222 ◽

2007 ◽

Vol 23 (6) ◽

pp. 1321-1342 ◽

Cited By ~ 1

Author(s):

Xiaohan Long ◽

Chuanjun Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Equations ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Characteristic Finite Element

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Implicit–explicit multistep finite-element methods for nonlinear convection-diffusion-reaction equations with time delay

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1408802 ◽

2017 ◽

Vol 95 (12) ◽

pp. 2496-2510 ◽

Cited By ~ 1

Author(s):

Gengen Zhang ◽

Aiguo Xiao ◽

Jie Zhou

Keyword(s):

Finite Element ◽

Time Delay ◽

Finite Element Methods ◽

Diffusion Reaction ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Reaction Equations

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Implicit-explicit multistep finite element methods for nonlinear convection-diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/1098-2426(200103)17:2<93::aid-num1>3.0.co;2-b ◽

2001 ◽

Vol 17 (2) ◽

pp. 93-104 ◽

Cited By ~ 6

Author(s):

Chen Wei

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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A Characteristic Finite Element Method for Solving Non-Linear Convection-Diffusion Equations on Locally Refined Grids

ECMOR II - 2nd European Conference on the Mathematics of Oil Recovery ◽

10.3997/2214-4609.201411121 ◽

1990 ◽

Author(s):

R. H. J. Gmelig Meyling

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Convection Diffusion ◽

Characteristic Finite Element ◽

Non Linear ◽

Element Method

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Stabilized Finite Element Methods with Shock-Capturing for Nonlinear Convection–Diffusion-Reaction Models

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_12 ◽

2010 ◽

pp. 125-133 ◽

Cited By ~ 2

Author(s):

Markus Bause

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Shock Capturing ◽

Diffusion Reaction ◽

Nonlinear Convection ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Convection Diffusion ◽

Reaction Models

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A characteristic finite element method for optimal control problems governed by convection–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.07.010 ◽

2010 ◽

Vol 235 (3) ◽

pp. 825-836 ◽

Cited By ~ 15

Author(s):

Hongfei Fu

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Diffusion Equations ◽

Control Problems ◽

Convection Diffusion ◽

Characteristic Finite Element ◽

Element Method

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Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113543 ◽

2021 ◽

pp. 113543

Author(s):

Chunmei Wang ◽

Ludmil Zikatanov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Equations ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Convection Diffusion ◽

Primal Dual ◽

Galerkin Finite Element Methods

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Error analysis of weak Galerkin finite element methods for time-dependent convection–diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.12.005 ◽

2019 ◽

Vol 137 ◽

pp. 19-33 ◽

Cited By ~ 2

Author(s):

Shenglan Xie ◽

Peng Zhu ◽

Xiaoshen Wang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Time Dependent ◽

Diffusion Equations ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Galerkin Finite Element Methods

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Bubble stabilization of linear finite element methods for nonlinear evolutionary convection–diffusion equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.03.028 ◽

2008 ◽

Vol 197 (45-48) ◽

pp. 3988-3999 ◽

Cited By ~ 5

Author(s):

Javier de Frutos ◽

Julia Novo

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Equations ◽

Convection Diffusion ◽

Linear Finite Element

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Variational multiscale finite element methods for a nonlinear convection-diffusion-reaction equation

Computational Continuum Mechanics ◽

10.7242/1999-6691/2019.12.2.13 ◽

2019 ◽

Vol 12 (2) ◽

pp. 149-160

Author(s):

M.S. Zhelnin ◽

A.A. Kostina ◽

O.A. Plekhov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Reaction ◽

Reaction Equation ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Variational Multiscale ◽

Multiscale Finite Element ◽

Multiscale Finite Element Methods

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Mixed and hybrid finite element methods for convection-diffusion equations and their relationships with finite volume

CALCOLO ◽

10.1007/s10092-005-0090-4 ◽

2005 ◽

Vol 42 (1) ◽

pp. 1-30 ◽

Cited By ~ 2

Author(s):

M. Fortin ◽

A. Serghini Mounim

Keyword(s):

Finite Element ◽

Finite Volume ◽

Finite Element Methods ◽

Diffusion Equations ◽

Convection Diffusion ◽

Hybrid Finite Element

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