Analysis of lumped approximations in the finite-element method for convection–diffusion problems

Cybernetics and Systems Analysis ◽

10.1007/s10559-013-9565-5 ◽

2013 ◽

Vol 49 (5) ◽

pp. 774-784 ◽

Author(s):

S. V. Siryk

Keyword(s):

Finite Element Method ◽

Finite Element ◽

The Finite Element Method ◽

Convection Diffusion ◽

Diffusion Problems ◽

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The finite element method with weighted basis functions for singularly perturbed convection–diffusion problems

Journal of Computational Physics ◽

10.1016/j.jcp.2003.10.028 ◽

2004 ◽

Vol 195 (2) ◽

pp. 773-789 ◽

Author(s):

Xiang-Gui Li ◽

C.K. Chan ◽

Song Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Functions ◽

Singularly Perturbed ◽

The Finite Element Method ◽

Convection Diffusion ◽

Diffusion Problems ◽

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An error analysis for the finite element method applied to convection diffusion problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(82)90044-5 ◽

1982 ◽

Vol 31 (1) ◽

pp. 19-42 ◽

Author(s):

I. Babuška ◽

W.G. Szymczak

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

The Finite Element Method ◽

Convection Diffusion ◽

Diffusion Problems ◽

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An optimal rational basis function in the finite element method for convection-diffusion problems in one space variables

Mathematical and Computer Modelling ◽

10.1016/0895-7177(94)90089-2 ◽

1994 ◽

Vol 19 (5) ◽

pp. 43-50

Author(s):

F.D. van Niekerk ◽

A. van Niekerk

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Function ◽

Rational Basis ◽

The Finite Element Method ◽

Convection Diffusion ◽

Diffusion Problems ◽

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Adaptivity and Error Estimation for the Finite Element Method Applied to Convection Diffusion Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0721059 ◽

1984 ◽

Vol 21 (5) ◽

pp. 910-954 ◽

Author(s):

W. G. Szymczak ◽

I. Babuvška

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimation ◽

The Finite Element Method ◽

Convection Diffusion ◽

Diffusion Problems ◽

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On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems. Explicit schemes

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199903)15:2<215::aid-num6>3.0.co;2-1 ◽

1999 ◽

Vol 15 (2) ◽

pp. 215-235 ◽

Author(s):

Miloslav Feistauer ◽

Jan Slav�k ◽

Petr Stupka

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Volume ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Explicit Schemes ◽

Diffusion Problems ◽

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An hp finite element method for convection-diffusion problems in one dimension

IMA Journal of Numerical Analysis ◽

10.1093/imanum/19.3.425 ◽

1999 ◽

Vol 19 (3) ◽

pp. 425-453 ◽

Author(s):

J. Melenk

Keyword(s):

Finite Element Method ◽

Finite Element ◽

One Dimension ◽

Convection Diffusion ◽

Diffusion Problems ◽

Element Method ◽

Hp Finite Element

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ALE-SUPG finite element method for convection–diffusion problems in time-dependent domains: Conservative form

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.01.032 ◽

2017 ◽

Vol 303 ◽

pp. 128-145 ◽

Author(s):

Sashikumaar Ganesan ◽

Shweta Srivastava

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Dependent ◽

Convection Diffusion ◽

Conservative Form ◽

Diffusion Problems ◽

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A Time-Space Finite Element Method for Nonlinear Convection Diffusion Problems

Numerical Treatment of the Navier-Stokes Equations ◽

10.1007/978-3-663-14004-7_2 ◽

1990 ◽

pp. 6-23 ◽

Author(s):

O. Axelsson ◽

J. Maubach

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems ◽

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A stabilized cut streamline diffusion finite element method for convection–diffusion problems on surfaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112645 ◽

2020 ◽

Vol 358 ◽

pp. 112645

Author(s):

Erik Burman ◽

Peter Hansbo ◽

Mats G. Larson ◽

André Massing ◽

Sara Zahedi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convection Diffusion ◽

Streamline Diffusion ◽

Diffusion Problems ◽

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On the finite element method for singularly perturbed reaction-diffusion problems in two and one dimensions

Mathematics of Computation ◽

10.1090/s0025-5718-1983-0679434-4 ◽

1983 ◽

Vol 40 (161) ◽

pp. 47-47 ◽

Author(s):

A. H. Schatz ◽

L. B. Wahlbin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

The Finite Element Method ◽

Diffusion Problems ◽

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