Efficient generation of oriented meshes for solving convection-diffusion problems

被引：0
|
作者：
Madden, N
Stynes, M
机构：
[1] Department of Mathematics, University College Cork, Cork
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1997年 / 40卷 / 03期
关键词：
numerical analysis; convection-diffusion; singularly perturbed problem; oriented mesh; Shishkin mesh; PLTMG;
D O I：
10.1002/(SICI)1097-0207(19970215)40:3<565::AID-NME80>3.0.CO;2-7
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A description of Shishkin meshes for resolving boundary and interior layers is given. It is shown how PLTMG can be used to construct these special oriented meshes with minimal effort. Several types of singularly perturbed convection-diffusion problems are solved on the meshes. These solutions are compared with those. obtained on uniform meshes and on meshes adaptively refined by PLTMG; it is seen that Shishkin meshes yield much more accurate solutions with little additional computational effort.
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页码：565 / 576
页数：12
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