An improved multiquadric collocation method for 3-D electromagnetic problems

IEEE Transactions on Magnetics

Volumn 43, Issue 4, 2007, Pages 1509-1512

  Zhang, Yong ^b   Shao, K R ^b   Guo, Youguang ^c   Zhu, Jianguo ^c   Xie, D X ^d   Lavers, J D ^a,e  

^a IEEE

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c UNIVERSITY OF TECHNOLOGY SYDNEY   (Australia)

^d SHENYANG UNIVERSITY OF TECHNOLOGY   (China)

^e UNIVERSITY OF TORONTO   (Canada)

Author keywords

3 d problems; Meshless method; Multiquadric

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MESH GENERATION; NUMERICAL METHODS; ONE DIMENSIONAL; PARTIAL DIFFERENTIAL EQUATIONS; RADIAL BASIS FUNCTION NETWORKS; TWO DIMENSIONAL;

EXPONENTIAL CONVERGENCE; GLOBAL BASIS FUNCTIONS; MESHLESS METHOD; NUMERICAL RESULTS;

ELECTROMAGNETIC FIELD THEORY;

EID: 33947674758     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2007.892479     Document Type: Article

References (5)

1. T. Belytschko, "Meshless methods: An overview and recent developments," Comput. Methods Appl. Mech. Eng., vol. 139, pp. 3-47, 1996.
2. C. Franke and R. Schaback, "Solving partial differential equations by collocation using radial basis functions," Appl. Math. Comput., vol. 93, no. 1, pp. 73-91, 1998.
3. R. Franke, "Scattered data interpolation: Test of some method," Math. Comput., vol. 48, pp. 381-399, 1982.
4. J. C. Li, Y. C. Hon, and C. S. Chen, "Numerical comparisons of two meshless method using radial basis functions," Eng. Anal. Bound. Elem., vol. 26, pp. 205-225, 2002.
5. A. I. Fedoseyev, M. J. Fredman, and E. J. Kansa, "Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary," Comput. Math. Appl., vol. 43, pp. 439-455, 2002.