Two-Dimensional Interpolation of Functions with Large Gradients in Boundary Layers

被引：0

作者：

Zadorin, Alexander ^{[1
]}

机构：

[1] Sobolev Math Inst SB RAS, Omsk Branch, Pevtsova 13, Omsk 644043, Russia

来源：

NUMERICAL ANALYSIS AND ITS APPLICATIONS (NAA 2016) | 2017年 / 10187卷

基金：

俄罗斯基础研究基金会;

关键词：

Function of two variables; Boundary layer; Polynomial interpolation; Shishkin mesh; Nonpolynomial interpolation;

D O I：

10.1007/978-3-319-57099-0_88

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Question of two-dimensional interpolation of functions with large gradients in the boundary layers is considered. The problem is that an application of polynomial interpolation on an uniform mesh to functions with large gradients leads to significant errors. We consider two approaches for increase of accuracy of interpolation: a fitting of the interpolation formula to a boundary layer component and the application of polynomial interpolation on Shishkin mesh. Numerical results are discussed.

引用

页码：760 / 768

页数：9

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