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The complex variable interpolating moving least-squares method

delete2012-11-01
delete52
PRE
AI
任
任红萍 (Hongping Ren) *
J
Jing Cheng
A
Aixiang Huang
DOI:10.1016/j.amc.2012.08.013delete
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Abstract

Abstract

En 中文
In this paper, a new method for deriving the moving least-squares (MLS) approximation is presented first. Considering the unclear physical meaning of the functional in the existing complex variable moving least-squares (CVMLS) approximation, an improved CVMLS approximation is presented by constructing a new functional with an explicit physical meaning. Based on the improved CVMLS approximation, the complex variable interpolating moving least-squares (CVIMLS) method is presented, and the interpolating property of the corresponding shape function of the CVIMLS method is proved. (C) 2012 Elsevier Inc. All rights reserved.
Keywords:
Moving least-squares approximation
Complex variable moving least-squares approximation Interpolating moving least-squares method
Shape function
Weight function
Inner product

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

X
xi'an jiaotong university
Scholars:
9.3W
Papers: 6.7W
Citations: 75
S
shanghai university of political science & law
Scholars:
83
Papers: 120
Citations: 0
T
taiyuan university of science & technology
Scholars:
3.5K
Papers: 2.3K
Citations: 3
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