Singularly perturbed convection-diffusion problems with boundary and weak interior layers

P. A. Farrell; A. F. Hegarty; J. J.H. Miller; E. O'Riordan; G. I. Shishkin

doi:10.1016/j.cam.2003.09.033

Singularly perturbed convection-diffusion problems with boundary and weak interior layers

P. A. Farrell
, A. F. Hegarty
, J. J.H. Miller
, E. O'Riordan
, G. I. Shishkin

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper a singularly perturbed convection-diffusion equation with a discontinuous source term is examined. Boundary and weak interior layers appear in the solution. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter.

Original language	English
Pages (from-to)	133-151
Number of pages	19
Journal	Journal of Computational and Applied Mathematics
Volume	166
Issue number	1
DOIs	https://doi.org/10.1016/j.cam.2003.09.033
Publication status	Published - 1 Apr 2004

Keywords

Convection-diffusion
Interior payer
Parameter-uniform
Singular perturbation

Access to Document

10.1016/j.cam.2003.09.033

Cite this

@article{a4fe066dc12d44c688989baec5c014c5,

title = "Singularly perturbed convection-diffusion problems with boundary and weak interior layers",

abstract = "In this paper a singularly perturbed convection-diffusion equation with a discontinuous source term is examined. Boundary and weak interior layers appear in the solution. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter.",

keywords = "Convection-diffusion, Interior payer, Parameter-uniform, Singular perturbation",

author = "Farrell, \{P. A.\} and Hegarty, \{A. F.\} and Miller, \{J. J.H.\} and E. O'Riordan and Shishkin, \{G. I.\}",

year = "2004",

month = apr,

day = "1",

doi = "10.1016/j.cam.2003.09.033",

language = "English",

volume = "166",

pages = "133--151",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

number = "1",

}

TY - JOUR

T1 - Singularly perturbed convection-diffusion problems with boundary and weak interior layers

AU - Farrell, P. A.

AU - Hegarty, A. F.

AU - Miller, J. J.H.

AU - O'Riordan, E.

AU - Shishkin, G. I.

PY - 2004/4/1

Y1 - 2004/4/1

N2 - In this paper a singularly perturbed convection-diffusion equation with a discontinuous source term is examined. Boundary and weak interior layers appear in the solution. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter.

AB - In this paper a singularly perturbed convection-diffusion equation with a discontinuous source term is examined. Boundary and weak interior layers appear in the solution. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter.

KW - Convection-diffusion

KW - Interior payer

KW - Parameter-uniform

KW - Singular perturbation

UR - https://www.scopus.com/pages/publications/1542634806

U2 - 10.1016/j.cam.2003.09.033

DO - 10.1016/j.cam.2003.09.033

M3 - Article

AN - SCOPUS:1542634806

SN - 0377-0427

VL - 166

SP - 133

EP - 151

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

Singularly perturbed convection-diffusion problems with boundary and weak interior layers

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this