Title :
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
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;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002519
