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 ◽

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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On stabilized finite element methods for linear systems of convection–diffusion-reaction equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00177-8 ◽

2000 ◽

Vol 188 (1-3) ◽

pp. 61-82 ◽

Author(s):

Ramon Codina

Keyword(s):

Finite Element ◽

Linear Systems ◽

Finite Element Methods ◽

Diffusion Reaction ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Convection Diffusion ◽

Reaction Equations

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Patch-wise local projection stabilized finite element methods for convection-diffusion-reaction problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22317 ◽

2018 ◽

Vol 35 (2) ◽

pp. 638-663 ◽

Author(s):

Asha K. Dond ◽

Thirupathi Gudi

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Reaction ◽

Stabilized Finite Element Methods ◽

Local Projection ◽

Stabilized Finite Element ◽

Convection Diffusion

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Bubble-based stabilized finite element methods for time-dependent convection-diffusion-reaction problems

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4229 ◽

2016 ◽

Vol 82 (8) ◽

pp. 512-538 ◽

Author(s):

A. Sendur ◽

A. Nesliturk

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Time Dependent ◽

Diffusion Reaction ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Convection Diffusion

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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 ◽

Author(s):

Gengen Zhang ◽

Aiguo Xiao ◽

Jie Zhou

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Reaction ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Reaction Equations

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Coupling stabilized finite element methods with finite difference time integration for advection–diffusion–reaction problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.03.016 ◽

2007 ◽

Vol 196 (35-36) ◽

pp. 3475-3491 ◽

Author(s):

M.I. Asensio ◽

B. Ayuso ◽

G. Sangalli

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Element Methods ◽

Time Integration ◽

Diffusion Reaction ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Advection Diffusion ◽

Difference Time

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Convection-diffusion problem solving by stabilized finite element methods

2012 IEEE 11th International Conference on Actual Problems of Electronics Instrument Engineering (APEIE) ◽

10.1109/apeie.2012.6629058 ◽

2012 ◽

Author(s):

N. B. Itkina

Keyword(s):

Finite Element ◽

Problem Solving ◽

Finite Element Methods ◽

Diffusion Problem ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Convection Diffusion

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On hp convergence of stabilized finite element methods for the convection–diffusion equation

SeMA Journal ◽

10.1007/s40324-018-0154-4 ◽

2018 ◽

Vol 75 (4) ◽

pp. 591-606 ◽

Author(s):

Ramon Codina

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Finite Element Methods ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Convection Diffusion ◽

Convection Diffusion Equation

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Stabilized finite element methods with shock capturing for advection–diffusion problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00222-0 ◽

2002 ◽

Vol 191 (27-28) ◽

pp. 2997-3013 ◽

Author(s):

T Knopp ◽

G Lube ◽

G Rapin

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Shock Capturing ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Advection Diffusion ◽

Diffusion Problems

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Optimal control of the convection-diffusion equation using stabilized finite element methods

Numerische Mathematik ◽

10.1007/s00211-007-0067-0 ◽

2007 ◽

Vol 106 (3) ◽

pp. 349-367 ◽

Author(s):

Roland Becker ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Diffusion Equation ◽

Finite Element Methods ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Convection Diffusion ◽

Convection Diffusion Equation

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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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