Singularity subtraction integral formulae for surface integral equations with RWG, rooftop and hybrid basis functions

Progress in Electromagnetics Research

Volumn 63, Issue , 2006, Pages 243-278

  Hanninen I ^a   Taskinen, M ^a   Sarvas, J ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947188038     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER06051901     Document Type: Article

References (13)

1. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., Vol. AP-30, No. 3, 409-418, May 1982.
2. Duffy, M. G., "Quadrature over a pyramid or cube of integrands with a singularity at a vertex," SIAM Journal on Numerical Analysis, Vol. 19, 1260-1262, December 1982.
3. Khayat, M. A. and D. R. Wilton, "Numerical evaluation of singular and near-singular potential integrals," IEEE Trans. Antennas Propagat., Vol. 53, No. 10, 3180-3190, October 2005.
4. Wilton, D. R., S. M. Rao, A. W. Glisson, D. H. Schaubert, O. M. Al-Bundak, and C. M. Butler, "Potential integrals for uniform and linear source distributions on polygonal and polyhedral domains," IEEE Trans. Antennas Propagat., Vol. AP-32, No. 3, 276-281, March 1984.
5. Graglia, R. D., "On the numerical integration of the linear shape functions times the 3-D Green's function or its gradient on a plane triangle," IEEE Trans. Antennas Propagat., Vol. 41, No. 10, 1448-1455, October 1993.
6. Caorsi, S., D. Moreno, and F. Sidoti, "Theoretical and numerical treatment of surface integrals involving the free-space Green's function," IEEE Trans. Antennas Propagat., Vol. 41, No. 9, 1296-1301, September 1993.
7. Eibert, T. F. and V. Hansen, "On the calculation of potential integrals for linear source distributions on triangular domains," IEEE Trans. Antennas Propagat., Vol. 43, No. 12, 1499-1502, December 1995.
8. Ylä-Oijala, P. and M. Taskinen, "Calculation of CFIE impedance matrix elements with RWG and nx RWG functions," IEEE Trans. Antennas Propagat., Vol. 51, No. 8, 1837-1846, August 2003.
9. Järvenpää, S., M. Taskinen, and P. Ylä-Oijala, "Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra," International Journal for Numerical Methods in Engineering, Vol. 58, 1149-1165, 2003.
10. Järvenpää, S., M. Taskinen, and P. Ylä-Oijala, "Singularity subtraction technique for high-order polynomial vector basis functions on planar triangles," IEEE Trans. Antennas Propagat., No. 1, Vol. 54, 42-49, January 2006.
11. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, 1980.
12. Girard, A., Invention Nouvelle en Algèbre, Amsterdam, Netherlands, 1629.
13. Rade, L. and B. Westergren, Mathematics Handbook for Science and Engineering, Fourth edition, Studentlitteratur, 1998.