Metastability and pinning for convection-diffusion-reaction equations in thin domains

Methods and Applications of Analysis ◽

10.4310/maa.1999.v6.n4.a3 ◽

1999 ◽

Vol 6 (4) ◽

pp. 451-476 ◽

Author(s):

Xiaodi Sun ◽

Michael J. Ward

Keyword(s):

Diffusion Reaction ◽

Thin Domains ◽

Convection Diffusion ◽

Reaction Equations

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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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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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Local Projection Stabilization for Convection-Diffusion-Reaction Equations on Surfaces

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 ◽

10.1007/978-3-319-67202-1_13 ◽

2017 ◽

pp. 169-181

Author(s):

Kristin Simon ◽

Lutz Tobiska

Keyword(s):

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence

Mathematics of Computation ◽

10.1090/s0025-5718-05-01761-8 ◽

2005 ◽

Vol 74 (252) ◽

pp. 1637-1653 ◽

Author(s):

Erik Burman ◽

Alexandre Ern

Keyword(s):

Maximum Principle ◽

Galerkin Approximation ◽

Diffusion Reaction ◽

Discrete Maximum Principle ◽

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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Numerical Study of Convection-Diffusion-Reaction Equations for Large Damkohler and Cell Reynolds Numbers

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407798708552537 ◽

1987 ◽

Vol 11 (2) ◽

pp. 143-164

Author(s):

S. K. Aggarwal

Keyword(s):

Numerical Study ◽

Reynolds Numbers ◽

Diffusion Reaction ◽

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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A finite difference scheme for multidimensional convection–diffusion–reaction equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.06.002 ◽

2014 ◽

Vol 278 ◽

pp. 347-360 ◽

Author(s):

A. Kaya

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations

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Time-accurate solution of stabilized convection-diffusion-reaction equations: I-time and space discretization

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.517 ◽

2002 ◽

Vol 18 (8) ◽

pp. 565-573 ◽

Author(s):

Antonio Huerta ◽

Jean Donea

Keyword(s):

Accurate Solution ◽

Diffusion Reaction ◽

Time And Space ◽

Convection Diffusion ◽

Space Discretization ◽

Reaction Equations

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