2013-06-14
Proposing a Wavelet Based Meshless Method for Simulation of Conducting Materials
By
Progress In Electromagnetics Research M, Vol. 31, 159-169, 2013
Abstract
This work focuses on the development of multiscale meshless technique in area of scattered fields from paramagnetic scatterers. The radial point interpolation method (RPIM), as the most common meshless technique, is employed for above purpose. Due to high frequency analysis, some special considerations must be applied, particularly in subdomains near the incident face. So, to ensure the accuracy, a multiscale meshless technique in wavelet frames sounds necessary. Simulating the scatterers using above method, specifically an elliptic paramagnetic scatterer, shows some efficient aspects such as less computational time and more precision compared with some other numerical methods.
Citation
Arman Afsari, and Masoud Movahhedi, "Proposing a Wavelet Based Meshless Method for Simulation of Conducting Materials," Progress In Electromagnetics Research M, Vol. 31, 159-169, 2013.
doi:10.2528/PIERM13042312
References

1. Liu, G. R. and Y. T. Gu, "An Introduction to Meshfree Methods and Their Programming," Springer, New York, 2005.        Google Scholar

2. Zhang, Y., K. R. Shao, D. X. Xie, and J. D. lavers, "Meshless method based on orthogonal basis for computational electromagnetics," IEEE Trans. Magn., Vol. 41, No. 5, 1432-1435, May 2005.
doi:10.1109/TMAG.2005.844545        Google Scholar

3. Yang, S. Y., S. L. Ho, P. H. Ni, and G. Z. Ni, "A combined waveletFE method for transient electromagnetic-field computation," IEEE Trans. Magn., Vol. 42, No. 4, 571-574, Apr. 2006.
doi:10.1109/TMAG.2006.871427        Google Scholar

4. Manzin, A. and O. Bottauscio, "Element-free Galerkin method for the analysis of electromagnetic-wave scattering," IEEE Trans. Magn., Vol. 44, No. 6, 1366-1369, Jun. 2008.
doi:10.1109/TMAG.2007.916444        Google Scholar

5. Hubbert, S., "Closed form representations for a class of compactly supported radial basis functions," Adv. Comput. Math., Vol. 36, 115-136, 2012.
doi:10.1007/s10444-011-9184-5        Google Scholar

6. Zhu, H., L. Tang, S. Song, Y. Tang, and D. Wang, "Symplectic wavelet collocation method for Hamiltonian wave equations," J. Comput. Phys., Vol. 229, 2550-2572, 2010.
doi:10.1016/j.jcp.2009.11.042        Google Scholar

7. Davydova, O. and D. Oanh, "On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation," Comput. Math. Appl., Vol. 62, 2143-2161, 2011.
doi:10.1016/j.camwa.2011.06.037        Google Scholar

8. Zheng, G., B.-Z. Wang, H. Li, X.-F. Liu, and S. Ding, "Analysis of finite periodic dielectric gratings by the finite-difference frequency-domain method with the sub-entire-domain basis functions and wavelets," Progress In Electromagnetic Research, Vol. 99, 453-463, 2009.
doi:10.2528/PIER09111502        Google Scholar

9. Ala, G., E. Francomano, and F. Viola, "A wavelet operator on the interval in solving Maxwell's equations," Progress In Electromagnetic Research Letters, Vol. 27, 133-140, 2011.
doi:10.2528/PIERL11090505        Google Scholar

10. Lashab, M., C. Zebiri, and F. Benabdelaziz, "Wavelet-based moment method and physical optics use on large reflector antennas," Progress In Electromagnetic Research M, Vol. 2, 189-200, 2008.
doi:10.2528/PIERM08042902        Google Scholar

11. Iqbal, A. and V. Jeoti, "A novel wavelet-Galerkein method for modeling radio wave propagation in tropospheric ducts," Progress In Electromagnetic Research B, Vol. 36, 35-52, 2012.
doi:10.2528/PIERB11091201        Google Scholar

12. Lashab, M., F. Benabdelaziz, and C.-E. Zebiri, "Analysis of electromagnetics scattering from reflector and cylindrical antennas using wavelet-based moment method," Progress In Electromagnetic Research, Vol. 76, 357-368, 2007.
doi:10.2528/PIER07071401        Google Scholar

13. Boggess, A. and F. J. Narcowich, A First Course in Wavelets with Fourier Analysis, Prentice Hall, Upper Saddle River, 2001.

14. Razmjoo, H., M. Movahhedi, and A. Hakimi, "Modification on a fast meshless method for electromagnetic field computations," ET Sci. Meas. Technol., Vol. 5, No. 5, 175-182, Sep. 2011.
doi:10.1049/iet-smt.2011.0041        Google Scholar

15. Afsari, A. and M. Movahhedi, "A modified wavelet-meshless method for lossy magnetic dielectrics at microwave frequencies," IEEE Trans. Magn., Vol. 49, No. 3, 963-967, Mar. 2013.
doi:10.1109/TMAG.2012.2228171        Google Scholar

16. Jin, J. M., The Finite Element Method in Electromagnetics, 2nd Ed., John Wiley and Sons, Ltd., 2002.