DocumentCode :
2329405
Title :
A different aproach to the singularity problem of boundary integral equations
Author :
Korkmaz, E.
Author_Institution :
Dept. of Electr. & Electron. Eng., Fatih Univ., Istanbul
fYear :
2008
fDate :
June 29 2008-July 2 2008
Firstpage :
331
Lastpage :
333
Abstract :
The numerical solution of boundary integral equations imply the integration of the kernel over the boundary which is singular in free space Greenpsilas function and its spatial derivatives when the point of interest coincides with the point of integration. In this paper we present a simple and efficient method for the singularity of the kernel. We introduce the weak form of Greenpsilas function by taking the spherical mean over the singular part of Greenpsilas function. Then we introduce its nonsingular gradient and gradient divergence operators. The convergences of the numerical solutions of integral equations are shown for simple objects.
Keywords :
Green´s function methods; boundary integral equations; computational electromagnetics; convergence of numerical methods; gradient methods; mathematical operators; boundary integral equations; free space Greenpsilas function; gradient divergence operators; nonsingular gradient operators; singularity problem; spherical mean; Current density; Frequency domain analysis; Green´s function methods; Integral equations; Interpolation; Kernel; Magnetic fields; Scattering; Surface waves;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2008. MMET 2008. 12th International Conference on
Conference_Location :
Odesa
Print_ISBN :
978-1-4244-2284-5
Type :
conf
DOI :
10.1109/MMET.2008.4580985
Filename :
4580985
Link To Document :
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