Error Estimation and Mean Value Interpolation on Polygonal Elements

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2007, Vol. 24 ›› Issue (2): 217-221.

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Error Estimation and Mean Value Interpolation on Polygonal Elements

WANG Zhaoqing¹, LI Shuping²

1. Institute of Engineering Mechanics, Shandong Jianzhu University, Jinan 250101, China;
2. Department of Public Security, Shandong Police College, Jinan 250101, China

Received:2005-11-09 Revised:2006-03-27 Online:2007-03-25 Published:2007-03-25

Abstract

Abstract: With shape functions of mean value interpolation and a bivariate Taylor expression,error estimation of mean value interpolation within polygonal elements is analyzed.Inequality of error estimation for mean value interpolation is derived.Mean value interpolation in the approxmation of temperature distributions on a convex domain is shown.

Key words: polygonal element, mean value interpolation, error estimation, temperature distribution

CLC Number:

O241.3

WANG Zhaoqing, LI Shuping. Error Estimation and Mean Value Interpolation on Polygonal Elements[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 24(2): 217-221.

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Error Estimation and Mean Value Interpolation on Polygonal Elements

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