A goal-oriented anisotropic hp-mesh adaptation method for linear convection–diffusion–reaction problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.03.046 ◽

2019 ◽

Vol 78 (9) ◽

pp. 2973-2993 ◽

Author(s):

Ondřej Bartoš ◽

Vít Dolejší ◽

Georg May ◽

Ajay Rangarajan ◽

Filip Roskovec

Keyword(s):

Mesh Adaptation ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Adaptation Method

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A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems

SIAM Journal on Scientific Computing ◽

10.1137/18m1172491 ◽

2019 ◽

Vol 41 (3) ◽

pp. A1899-A1922 ◽

Author(s):

Vít Dolejší ◽

Georg May ◽

Ajay Rangarajan ◽

Filip Roskovec

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Mesh Adaptation ◽

Diffusion Reaction ◽

Anisotropic Mesh ◽

Convection Diffusion ◽

Anisotropic Mesh Adaptation

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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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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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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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