Finite element approximation of convection–diffusion problems using an exponentially graded mesh

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.07.008 ◽

2016 ◽

Vol 72 (6) ◽

pp. 1532-1540 ◽

Author(s):

Christos Xenophontos ◽

Sebastian Franz ◽

Lars Ludwig

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Element Approximation ◽

Convection Diffusion ◽

Graded Mesh ◽

Exponentially Graded ◽

Diffusion Problems

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Finite element approximation of reaction–diffusion problems using an exponentially graded mesh

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.08.051 ◽

2018 ◽

Vol 76 (10) ◽

pp. 2523-2534 ◽

Author(s):

P. Constantinou ◽

S. Franz ◽

L. Ludwig ◽

C. Xenophontos

Keyword(s):

Finite Element ◽

Reaction Diffusion ◽

Finite Element Approximation ◽

Element Approximation ◽

Graded Mesh ◽

Exponentially Graded ◽

Diffusion Problems

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Finite element approximation of convection diffusion problems using graded meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.03.029 ◽

2006 ◽

Vol 56 (10-11) ◽

pp. 1314-1325 ◽

Author(s):

Ricardo G. Durán ◽

Ariel L. Lombardi

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Element Approximation ◽

Convection Diffusion ◽

Graded Meshes ◽

Diffusion Problems

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Corrigendum to “Robust error bounds for finite element approximation of reaction–diffusion problems with non-constant reaction coefficient in arbitrary space dimension” [Comput. Methods Appl. Mech. Engrg. 281 (2014) 184–199]

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2015.10.018 ◽

2016 ◽

Vol 299 ◽

pp. 143 ◽

Author(s):

Mark Ainsworth ◽

Tomáš Vejchodský

Keyword(s):

Finite Element ◽

Error Bounds ◽

Space Dimension ◽

Reaction Diffusion ◽

Finite Element Approximation ◽

Element Approximation ◽

Reaction Coefficient ◽

Arbitrary Space ◽

Diffusion Problems

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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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Sparse finite element approximation of high-dimensional transport-dominated diffusion problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2008027 ◽

2008 ◽

Vol 42 (5) ◽

pp. 777-819 ◽

Author(s):

Christoph Schwab ◽

Endre Süli ◽

Radu Alexandru Todor

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

High Dimensional ◽

Element Approximation ◽

Diffusion Problems

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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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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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Finite Element Approximation of the Convection-Diffusion Equation: Subgrid-Scale Spaces, Local Instabilities and Anisotropic Space-Time Discretizations

Lecture Notes in Computational Science and Engineering - BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods ◽

10.1007/978-3-642-19665-2_10 ◽

2011 ◽

pp. 85-97 ◽

Author(s):

Ramon Codina

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Finite Element Approximation ◽

Element Approximation ◽

Subgrid Scale ◽

Anisotropic Space ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

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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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Adaptive characteristic finite element approximation of convection-diffusion optimal control problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21741 ◽

2012 ◽

Vol 29 (3) ◽

pp. 979-998 ◽

Author(s):

Hongfei Fu ◽

Hongxing Rui

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Convection Diffusion ◽

Characteristic Finite Element

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