Toward approximate moving least squares approximation with irregularly spaced centers

被引：15

作者：

Fasshauer, GE ^{[1
]}

机构：

[1] IIT, Dept Appl Math, Chicago, IL 60616 USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2004年 / 193卷 / 12-14期

基金：

美国国家科学基金会;

关键词：

moving least squares; approximate approximation; irregularly spaced centers;

D O I：

10.1016/j.cma.2003.12.017

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

By combining the well-known moving least squares approximation method and the theory of approximate approximations due to Maz'ya and Schmidt we are able to present an approximate moving least squares method which inherits the simplicity of Shepard's method along with the accuracy of higher-order moving least squares approximations. In this paper we focus our interest on practical implementations for irregularly spaced data sites. The two schemes described here along with some first numerical experiments are to be viewed as exploratory work only. These schemes apply to centers that are obtained from gridded centers via a smooth parametrization. Further work to find a robust numerical scheme applicable to arbitrary scattered data is needed. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：1231 / 1243

页数：13

共 12 条

[1]

[Anonymous], ANN LIB APPROXIMATE

[2]

Fasshauer GE, 2003, LECT NOTES COMP SCI, V26, P105

[3]

FASSHAUER GE, 2002, 5 WORLD C COMP MECH

[4]

FASSHAUER GE, 2002, APPROXIMATION THEORY, V10, P271

[5]

FASSHAUER GE, 2003, CURVE SURFACE FITTIN, P139

[6]

LANCASTER P, 1981, MATH COMPUT, V37, P141, DOI 10.1090/S0025-5718-1981-0616367-1

[7] The approximation power of moving least-squares [J].

Levin, D .

MATHEMATICS OF COMPUTATION, 1998, 67 (224) :1517-1531

[8]

Li S., 2002, APPL MECH REV, V55, P1, DOI DOI 10.1115/1.1431547

[9] On quasi-interpolation with non-uniformly distributed centers on domains and manifolds [J].

Maz'ya, V ;

Schmidt, G .

JOURNAL OF APPROXIMATION THEORY, 2001, 110 (02) :125-145

[10]

NIEDERREITER H, 1992, CBMS NSF REG C SERIE, V63

← 1 2 →