Analysis of stabilized higher-order finite element approximation of nonstationary and nonlinear convection–diffusion–reaction equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.10.004 ◽

2012 ◽

Vol 209-212 ◽

pp. 184-196 ◽

Author(s):

Markus Bause ◽

Kristina Schwegler

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Higher Order ◽

Diffusion Reaction ◽

Element Approximation ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Reaction Equations

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Higher order finite element approximation of systems of convection–diffusion–reaction equations with small diffusion

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.07.005 ◽

2013 ◽

Vol 246 ◽

pp. 52-64 ◽

Author(s):

Markus Bause ◽

Kristina Schwegler

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Higher Order ◽

Diffusion Reaction ◽

Element Approximation ◽

Small Diffusion ◽

Convection Diffusion ◽

Reaction Equations

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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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Preserving nonnegativity of an affine finite element approximation for a convection–diffusion–reaction problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.04.018 ◽

2016 ◽

Vol 306 ◽

pp. 286-299 ◽

Author(s):

Javier Ruiz-Ramírez

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Diffusion Reaction ◽

Element Approximation ◽

Convection Diffusion ◽

Reaction Problem

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Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal subscales

Computing and Visualization in Science ◽

10.1007/s007910100068 ◽

2002 ◽

Vol 4 (3) ◽

pp. 167-174 ◽

Author(s):

Ramon Codina ◽

Jordi Blasco

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Diffusion Reaction ◽

Element Approximation ◽

Reaction Equation ◽

Stabilized Finite Element ◽

Convection Diffusion

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Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90003-4 ◽

1986 ◽

Vol 59 (3) ◽

pp. 307-325 ◽

Author(s):

T.E. Tezduyar ◽

Y.J. Park

Keyword(s):

Finite Element ◽

Diffusion Reaction ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Reaction Equations ◽

Finite Element Formulations

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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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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 ◽

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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A positivity preserving characteristic finite element method for solving the transport and convection–diffusion–reaction equations on general surfaces

Computer Physics Communications ◽

10.1016/j.cpc.2019.106941 ◽

2020 ◽

Vol 247 ◽

pp. 106941 ◽

Author(s):

Xufeng Xiao ◽

Zihuan Dai ◽

Xinlong Feng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Positivity Preserving ◽

Convection Diffusion ◽

Characteristic Finite Element ◽

Reaction Equations ◽

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On Residual-Based a Posteriori Error Estimators for Lowest-Order Raviart-Thomas Element Approximation to Convection-Diffusion-Reaction Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1403-fe4 ◽

2014 ◽

Vol 32 (5) ◽

pp. 522-546 ◽

Author(s):

Shaohong Du and Xiaoping Xie

Keyword(s):

Posteriori Error ◽

Diffusion Reaction ◽

Element Approximation ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Convection Diffusion ◽

Error Estimators ◽

Posteriori Error Estimators ◽

Reaction Equations

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Analysis of a Stabilized Finite Element Approximation of the Transient Convection‐Diffusion Equation Using an ALE Framework

SIAM Journal on Numerical Analysis ◽

10.1137/050643532 ◽

2006 ◽

Vol 44 (5) ◽

pp. 2159-2197 ◽

Author(s):

Santiago Badia ◽

Ramon Codina

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Finite Element Approximation ◽

Element Approximation ◽

Stabilized Finite Element ◽

Convection Diffusion ◽

Convection Diffusion Equation

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