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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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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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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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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Robust error bounds for finite element approximation of reaction–diffusion problems with non-constant reaction coefficient in arbitrary space dimension

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.08.005 ◽

2014 ◽

Vol 281 ◽

pp. 184-199 ◽

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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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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Optimal mesh design for the finite element approximation of reaction-diffusion problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.318 ◽

2001 ◽

Vol 53 (4) ◽

pp. 929-943 ◽

Author(s):

Christos Xenophontos

Keyword(s):

Finite Element ◽

Reaction Diffusion ◽

Finite Element Approximation ◽

Element Approximation ◽

Optimal Mesh ◽

Diffusion Problems

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Singularities in the Finite Element Approximation of Two-Dimensional Diffusion Problems

Nuclear Science and Engineering ◽

10.13182/nse77-a26939 ◽

1977 ◽

Vol 62 (1) ◽

pp. 55-68 ◽

Author(s):

J. P. Hennart ◽

E. H. Mund

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Element Approximation ◽

Two Dimensional ◽

Dimensional Diffusion ◽

Diffusion Problems

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Finite Element Approximation of Large Air Pollution Problems. I. Advection.

10.21236/ada294324 ◽

1995 ◽

Author(s):

Francis X. Giraldo ◽

Beny Neta

Keyword(s):

Air Pollution ◽

Finite Element ◽

Finite Element Approximation ◽

Element Approximation

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A priori error analysis for a finite element approximation of dynamic viscoelasticity problems involving a fractional order integro-differential constitutive law

Advances in Computational Mathematics ◽

10.1007/s10444-021-09857-8 ◽

2021 ◽

Vol 47 (3) ◽

Author(s):

Yongseok Jang ◽

Simon Shaw

Keyword(s):

Finite Element ◽

Error Analysis ◽

Fractional Order ◽

A Priori ◽

Finite Element Approximation ◽

Constitutive Law ◽

Element Approximation ◽

Dynamic Viscoelasticity ◽

A Priori Error Analysis

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Finite element approximation to Theodorsen's solution for non-steadyaerodynamics of an airfoil section

10.2514/6.1984-1640 ◽

1984 ◽

Author(s):

R. DUFFY

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Element Approximation ◽

Airfoil Section

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