The use of solutions on embedded grids for the approximation of singularly perturbed parabolic convection-diffusion equations on adapted grids

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542506090077 ◽

2006 ◽

Vol 46 (9) ◽

pp. 1539-1559 ◽

Author(s):

G. I. Shishkin

Keyword(s):

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

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A new stable finite difference scheme and its error analysis for two‐dimensional singularly perturbed convection–diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22732 ◽

2020 ◽

Author(s):

Kamalesh Kumar ◽

Pramod Chakravarthy Podila

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Two Dimensional ◽

Convection Diffusion

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An Asymptotic-Numerical Method for a Class of Weakly Coupled System of Singularly Perturbed Convection-Diffusion Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2019.1615946 ◽

2019 ◽

Vol 40 (13) ◽

pp. 1550-1571

Author(s):

Aditya Kaushik ◽

Anil K. Vashishth ◽

Vijayant Kumar ◽

Manju Sharma

Keyword(s):

Numerical Method ◽

Coupled System ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

Asymptotic Numerical Method ◽

Weakly Coupled ◽

Weakly Coupled System

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Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations

Computing ◽

10.1007/s00607-006-0215-x ◽

2006 ◽

Vol 79 (1) ◽

pp. 23-32 ◽

Author(s):

T. Linß

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

Upwind Finite Difference

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A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations

Numerische Mathematik ◽

10.1007/pl00005431 ◽

2001 ◽

Vol 87 (4) ◽

pp. 737-761 ◽

Author(s):

Mario Ohlberger

Keyword(s):

Error Estimate ◽

Posteriori Error ◽

A Posteriori Error Estimate ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Posteriori Error Estimate ◽

A Posteriori ◽

Nonlinear Convection ◽

A Posteriori Error ◽

Convection Diffusion

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An analysis of overlapping Schwarz method for a weakly coupled system of singularly perturbed convection‐diffusion equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4794 ◽

2019 ◽

Vol 92 (6) ◽

pp. 528-544

Author(s):

J. Christy Roja ◽

A. Tamilselvan ◽

N. Geetha

Keyword(s):

Coupled System ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

Schwarz Method ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Overlapping Schwarz

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A parameter uniform numerical method for a system of singularly perturbed convection–diffusion equations with discontinuous convection coefficients

International Journal of Computer Mathematics ◽

10.1080/00207160802322332 ◽

2010 ◽

Vol 87 (6) ◽

pp. 1374-1388 ◽

Author(s):

A. Tamilselvan ◽

N. Ramanujam

Keyword(s):

Numerical Method ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion

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The Richardson extrapolation technique for quasilinear parabolic singularly perturbed convection-diffusion equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/55/1/019 ◽

2006 ◽

Vol 55 ◽

pp. 203-213 ◽

Author(s):

G I Shishkin ◽

L P Shishkina

Keyword(s):

Richardson Extrapolation ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

Extrapolation Technique ◽

Richardson Extrapolation Technique ◽

Quasilinear Parabolic

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Analysis of a System of Singularly Perturbed Convection-Diffusion Equations with Strong Coupling

SIAM Journal on Numerical Analysis ◽

10.1137/070683970 ◽

2009 ◽

Vol 47 (3) ◽

pp. 1847-1862 ◽

Author(s):

Torsten Linss

Keyword(s):

Strong Coupling ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion

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Superconvergence of finite element method for singularly perturbed convection–diffusion equations in 1D

Applied Mathematics Letters ◽

10.1016/j.aml.2019.06.018 ◽

2019 ◽

Vol 98 ◽

pp. 278-283 ◽

Author(s):

Jin Zhang ◽

Xiaowei Liu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

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Layer structure and the galerkin finite element method for a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015027 ◽

2015 ◽

Vol 49 (5) ◽

pp. 1525-1547 ◽

Author(s):

Hans-Görg Roos ◽

Martin Schopf

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Multiple Scales ◽

Layer Structure ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

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