Title :
Study of Increasing Computational Efficiency in Element-Free Galerkin Method
Author :
Liu, Suzhen ; Yang, Qingxin ; Chen, Haiyan ; Yang, Wenrong ; An, Jinlong ; Yan, Weili
Author_Institution :
Province-Minist. Joint Key Lab. of Electromagn. Field & Electr. Apparatus Reliability, Hebei Univ. of Technol., Tianjin
Abstract :
The element-free Galerkin method (EFGM) is based on moving least square (MLS) approximations and uses only a set of nodal points to formulate the discrete model. The EFGM does not require any elements and has not the element deformation problems. Therefore, the EFGM simplifies pre-processing and post-processing and can solve problems with higher accuracy. However, the computational efficiency of the EFGM is very low, which caused mainly by the Gaussian integration and finding the inverse matrix of the coefficient matrix. To overcome this shortcoming, the orthogonal basic functions are given, the preconditioning method of equations and the support domain of weight functions are studied thoroughly in this paper
Keywords :
Galerkin method; least squares approximations; matrix algebra; Gaussian integration; coefficient matrix; element deformation problems; element-free Galerkin method; inverse matrix; moving least square approximations; orthogonal basic functions; weight functions; Computational efficiency; Electromagnetic fields; Electromagnetic modeling; Electronic mail; Equations; Intelligent control; Least squares approximation; Moment methods; Multilevel systems; World Wide Web; Element-Free Galerkin method; moving least-squares method; orthogonal basic functions; preconditioning methods of equations; the support domain of weight functionsz;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712643
