Analyzing 2D temperature field problems in the improved element-free Galerkin method

Author

Zhao, Yufeng ; Xia, Maohui ; Lv, Peng ; Zhai, Yupeng

Author_Institution

Sch. of Sci., Yanshan Univ., Qinhuangdao, China

fYear

2011

fDate

26-28 July 2011

Firstpage

1981

Lastpage

1984

Abstract

This paper presents an improved moving least-square (IMLS) approximation in which the orthogonal function system with a weight function is used as the basis function. The IMLS approximation has a greater computational efficiency and precision than the existing MLS, and does not lead to an ill conditioned system of equations. By combining the element-free Galerkin (EFG) method and the IMLS approximation, IEFG is derived. There is a numerical example solved using this method. It demonstrated the method has a greater computational efficiency and precision, and it is simple and effective.

Keywords

Galerkin method; finite element analysis; heat conduction; least squares approximations; 2D temperature field problems; FEM method; element-free Galerkin method; heat conduction; least-square approximation; orthogonal function system; weight function; Approximation methods; Equations; Finite element methods; Heating; Mathematical model; Shape; Temperature distribution; Improved Elementfree Galerkin (IEFG) method; Improved moving least-squares approximation(IMLS); Moving least-squares approximation(MLS); Temperature field;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Technology (ICMT), 2011 International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-61284-771-9

Type

conf

DOI

10.1109/ICMT.2011.6002519

Filename

6002519