Uniform pointwise convergence on Shishkin-type meshes for quasi-linear convection-diffusion problems

被引：55
|
作者：
Linss, T [1 ]
Roos, HG
Vulanovic, R
机构：
[1] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany
[2] Kent State Univ, Dept Math & Comp Sci, Canton, OH 44720 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2000年 / 38卷 / 03期
关键词：
convection-diffusion problems; quasi-linear problems; upwind scheme; singular perturbation; Shishkin-type mesh;
D O I：
10.1137/S0036142999355957
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A singularly perturbed quasi-linear two-point boundary value problem with an exponential boundary layer is considered. The problem is discretized using a nonstandard upwinded first-order difference scheme on generalized Shishkin-type meshes. We give a uniform error estimate in a discrete L-infinity norm. Numerical experiments support the theoretical results.
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页码：897 / 912
页数：16
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