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

M.S. Zhelnin; A.A. Kostina; O.A. Plekhov

doi:10.7242/1999-6691/2019.12.2.13

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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Variational Multiscale Finite-Element Methods for a Nonlinear Convection–Diffusion–Reaction Equation

Journal of Applied Mechanics and Technical Physics ◽

10.1134/s0021894420070226 ◽

2020 ◽

Vol 61 (7) ◽

pp. 1128-1139

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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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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Two-level variational multiscale finite element methods for Navier–Stokes type variational inequality problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.06.018 ◽

2015 ◽

Vol 290 ◽

pp. 656-669 ◽

Cited By ~ 3

Author(s):

Yuan Li ◽

Rong An

Keyword(s):

Finite Element ◽

Variational Inequality ◽

Finite Element Methods ◽

Variational Inequality Problem ◽

Navier Stokes ◽

Inequality Problem ◽

Variational Multiscale ◽

Multiscale Finite Element ◽

Multiscale Finite Element Methods

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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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Finite element methods with symmetric stabilization for the transient convection–diffusion–reaction equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.02.011 ◽

2009 ◽

Vol 198 (33-36) ◽

pp. 2508-2519 ◽

Cited By ~ 20

Author(s):

Erik Burman ◽

Miguel A. Fernández

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Reaction ◽

Reaction Equation ◽

Convection Diffusion

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On Finite Element Methods for 3D Time-Dependent Convection-Diffusion-Reaction Equations with Small Diffusion

Lecture Notes in Computational Science and Engineering - BAIL 2008 - Boundary and Interior Layers ◽

10.1007/978-3-642-00605-0_13 ◽

2009 ◽

pp. 173-181 ◽

Cited By ~ 11

Author(s):

Volker John ◽

Ellen Schmeyer

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Time Dependent ◽

Diffusion Reaction ◽

Small Diffusion ◽

Convection Diffusion ◽

Reaction Equations

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Mixed Multiscale Finite Element Methods Using Limited Global Information

Multiscale Modeling and Simulation ◽

10.1137/070688481 ◽

2008 ◽

Vol 7 (2) ◽

pp. 655-676 ◽

Cited By ~ 50

Author(s):

J. E. Aarnes ◽

Y. Efendiev ◽

L. Jiang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Global Information ◽

Multiscale Finite Element ◽

Multiscale Finite Element Methods

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Convection-Dominated Problems: Finite Element Approximations to the Convection-Diffusion-Reaction Equation

The Finite Element Method for Fluid Dynamics ◽

10.1016/b978-1-85617-635-4.00002-9 ◽

2014 ◽

pp. 31-85

Author(s):

O.C. Zienkiewicz ◽

R.L. Taylor ◽

P. Nithiarasu

Keyword(s):

Finite Element ◽

Diffusion Reaction ◽

Reaction Equation ◽

Convection Diffusion ◽

Finite Element Approximations ◽

Convection Dominated

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Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics

Handbook of Geomathematics ◽

10.1007/978-3-642-27793-1_68-2 ◽

2014 ◽

pp. 1-20

Author(s):

Yalchin Efendiev ◽

Michael Presho

Keyword(s):

Finite Element ◽

Model Reduction ◽

Finite Element Methods ◽

Multiscale Model ◽

Multiscale Finite Element ◽

Multiscale Finite Element Methods

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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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