Edge stabilization for Galerkin approximations of convection–diffusion–reaction problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2003.12.032 ◽

2004 ◽

Vol 193 (15-16) ◽

pp. 1437-1453 ◽

Author(s):

Erik Burman ◽

Peter Hansbo

Keyword(s):

Diffusion Reaction ◽

Convection Diffusion ◽

Galerkin Approximations

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Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection–diffusion-reaction equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00318-3 ◽

2002 ◽

Vol 191 (35) ◽

pp. 3833-3855 ◽

Author(s):

Erik Burman ◽

Alexandre Ern

Keyword(s):

Maximum Principle ◽

Nonlinear Diffusion ◽

Diffusion Reaction ◽

Discrete Maximum Principle ◽

Reaction Equation ◽

Convection Diffusion ◽

Galerkin Approximations

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Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.01.016 ◽

2021 ◽

Vol 163 ◽

pp. 303-316

Author(s):

Zeinab Gharibi ◽

Mehdi Dehghan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Singularly Perturbed ◽

Diffusion Reaction ◽

Weak Galerkin ◽

Convection Diffusion ◽

Reaction Problem

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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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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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An explicit characteristic finite volume element method for non-divergence free convection–diffusion-reaction equation

International Journal of Advances in Engineering Sciences and Applied Mathematics ◽

10.1007/s12572-012-0071-1 ◽

2012 ◽

Vol 4 (3) ◽

pp. 179-192

Author(s):

S. Phongthanapanich ◽

P. Dechaumphai

Keyword(s):

Free Convection ◽

Finite Volume ◽

Volume Element ◽

Diffusion Reaction ◽

Reaction Equation ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Divergence Free ◽

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ODE/PDE Model Convection–Diffusion–Reaction Formulation

ODE/PDE ?-Synuclein Models for Parkinson's Disease ◽

10.1016/b978-0-12-814614-9.00005-8 ◽

2018 ◽

pp. 115-144

Author(s):

W.E. Schiesser

Keyword(s):

Diffusion Reaction ◽

Convection Diffusion ◽

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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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