Effects of numerical formulation on magnetic field computation using meshless methods

IEEE Transactions on Magnetics

Volumn 42, Issue 9, 2006, Pages 2164-2171

  Lee, Kok Meng ^a,b   Li, Qiang ^a   Sun, Hungson ^a  

^a IEEE   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Element free; Finite element; Galerkin methods; Magnetic field; Meshless method; Strong form; Weak form formulation

Indexed keywords

ELEMENT FREE; FINITE ELEMENTS; MESHLESS METHOD; STRONG FORMS; WEAK FORM FORMULATION;

COMPUTATION THEORY; ELECTROMAGNETIC FIELDS; FINITE ELEMENT METHOD; FORCE CONTROL; GALERKIN METHODS; NUMERICAL METHODS;

MAGNETIC FIELDS;

EID: 33748303027     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2006.880401     Document Type: Article

References (21)

1. V. Cingoski, N. Miyamoto. and H. Yamashita, "Element-free Galerkin method for electromagnetic field computations." IEEE Trans. Magn.. vol. 34. no. 5, pp. 3236-3239. Sep. 1998.
2. K. Do Wan and K. Hong-Kyu, "Point collocation method based on the FMLSRK approximation for electromagnetic field analysis," IEEE Trans. Magn., vol. 40, no. 2. pp. 1029-1032, Mar. 2004.
3. S. L. Ho. S. Yang, J. M. Machado, and H. C. Wong, "Application of a meshless method in electromagnetics." IEEE Trans. Magn.. vol. 37. no. 5. pp. 3198-3202. Sep. 2001.
4. X. Liang, Z. Zhiwei. B. Shanker. and L. Udpa. "Element-free Galerkin method for static and quasi-static electromagnetic field computation," IEEE Trans. Magn., vol. 40, no. 1, pp. 12-20, Jan. 2004.
5. S. Liu, "Improvement of the element-free Galerkin method for electromagnetic field calculation." IEEE Trans. Appl. Supercond., vol. 14, no. 2. pp. 1866-1869. Jun. 2004.
6. Y. Marechal. "Some meshless methods for electromagnetic field computations," IEEE Trans. Magn., vol. 34, no. 5, pp. 3351-3354, Sep. 1998.
7. I. Nishiguchi and K. Haseyama. "Application of element-free Galerkin method to 2-D and 3-D magnetostatic problems," Pavia, Italy. 2000.
8. Y. Shiyou. N. Guangzheng, J. R. Cardoso, S. L. Ho, and J. M. Machado. "A combined wavelet-element free Galerkin method for numerical calculations of electromagnetic fields," IEEE Trans. Magn., vol. 39. no. 3, pp. 1413-1416, May 2003.
9. S. A. Viana and R. C. Mesquita, "Moving least square reproducing kernel method for electromagnetic field computation," IEEE Trans. Magn., vol. 35. no. 3, pp. 1372-1375, May 1999.
10. L. Lucy. "A numerical approach to testing the fission hypothesis," Astron. J., vol. 8, pp. 1013-1024.
11. R. A. A. M. Gingold. "Smooth particle hydrodynamics: Theory and applications to nonspherical stars," Mon. Not. R. Astron. Soc., pp. 375-389, 1977.
12. B. Nayroles, G. Touzot, and P. Villon, "Generalizing the finite element method: Diffuse approximation and diffuse elements." Comput. Mech., vol. 10. p. 307, 1992.
13. T. Belytschko, Y. Y. Lu, and L. Gu, "Element-free Galerkin methods." Int. J. Numer. Methods Eng., vol. 37, p. 229, 1994.
14. W. K. Liu and Y. Chen, "Wavelet and multiple scale reproducing Kernel methods," Int. J. Numer. Methods Fluids, vol. 21, p. 901, 1995.
15. G. R. Liu. Mesh Free Methods Moving Beyond the Finite Element Method, Boca Raton, EL: CRC. 2003, p. 692.
16. S. N. Atluri and T. Zhu, "New meshless local Petrov-Galerkin (MLPG) approach in computational mechanics." Comput. Mech., vol. 22. p. 117, 1998.
17. L. W. Cordes and B. Moran, "Treatment of material discontinuity in the element-free Galerkin method." Comput. Methods Appl. Mech. Eng., vol. 139, p. 75, 1996.
18. T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. "Meshless methods: An overview and recent developments." Comput. Methods Appl. Mech. Eng., vol. 139. p. 3, 1996.
19. E. Onate, S. Idelsohn, O. C. Zienkiewicz, and R. L. Taylor, "A finite point method in computational mechanics. Applications to convective transport and fluid flow." Int. J. Numer, Methods Eng., vol. 39. p. 3839, 1996.
20. J. S. Chen. C. Pan. and C. T. Wu, "Large deformation analysis of rubber based on a reproducing kernel particle method." Comput. Mech., vol. 19, p. 211, 1997.
21. H. A. Haus and J. R. Meleher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall. 1989.