On a convection-diffusion problem with a weak layer

被引：1

作者：

Linss, T ^{[1
]}

机构：

[1] Tech Univ Dresden, Inst Numer Math, Fachrichtung Math, D-01062 Dresden, Germany

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 160卷 / 03期

关键词：

convection-diffusion; finite differences; singular perturbation;

D O I：

10.1016/j.amc.2003.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we consider a model linear convection-diffusion problem with a weak layer. We analyze the singular-perturbation nature of the problem and show that no special precautions are required to cope with the weak layer: a standard Upwind scheme on a (quasi-)uniform mesh is sufficient. We give a simple analysis for the method. Thus highlighting that not all problems with a small parameter multiplying the highest-order derivative are suitable for Studying boundary-layer phenomena. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：791 / 795

页数：5

共 50 条

[1] A linearised singularly perturbed convection-diffusion problem with an interior layer
O'Riordan, E.
Quinn, J.
APPLIED NUMERICAL MATHEMATICS, 2015, 98 : 1 - 17
[2] A SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEM WITH A MOVING INTERIOR LAYER
Gracia, J. L.
O'Riordan, E.
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2012, 9 (04) : 823 - 843
[3] A convection-diffusion problem in a network
Oppenheimer, SF
APPLIED MATHEMATICS AND COMPUTATION, 2000, 112 (2-3) : 223 - 240
[4] A problem of convection-diffusion with chemical reaction
Gaultier, M
Lezaun, M
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (02): : 159 - 164
[5] A contact problem for a convection-diffusion equation
Pomeranz, S
Lewis, G
Constanda, C
INTEGRAL METHODS IN SCIENCE AND ENGINEERING: THEORETICAL AND PRACTICAL ASPECTS, 2006, : 235 - +
[6] DEAD CORES IN A CONVECTION-DIFFUSION PROBLEM
VANDERHOUT, R
LI, ZY
PELETIER, LA
ROBIJN, FHA
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 187 (01) : 55 - 75
[7] A stabilizing subgrid for convection-diffusion problem
Nesliturk, AI
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2006, 16 (02): : 211 - 231
[8] The Regulator Problem to the Convection-Diffusion Equation
Ramirez, Andres A.
Jurado, Francisco
MATHEMATICS, 2023, 11 (08)
[9] Multigrid method for convection-diffusion problem with dominant convection
Muratova, GV
ANALYTICAL AND NUMERICAL METHODS FOR CONVECTION-DOMINATED AND SINGULARLY PERTURBED PROBLEMS, 2000, : 225 - 230
[10] Using rectangular Qp elements in the SDFEM for a convection-diffusion problem with a boundary layer
Stynes, Martin
Tobiska, Lutz
APPLIED NUMERICAL MATHEMATICS, 2008, 58 (12) : 1789 - 1802

← 1 2 3 4 5 →