Title :
Simple and efficient numerical evaluation of near-hypersingular integrals
Author :
Fink, Patrick W. ; Wilton, Donald R. ; Khayat, Michael A.
Author_Institution :
NASA Johnson Space Center, Houston
Abstract :
A technique for efficient numerical evaluation of hypersingular kernels is demonstrated. It is also shown that weaker singularities may be handled efficiently by the same technique. As the projection of the observation point approaches an edge of the source element, the efficiency of the technique is reduced. Treatment of this case remains as future work. Additional work also includes extending the technique to handle projections of the observation point falling outside the source element.
Keywords :
integral equations; near-hypersingular integrals; numerical evaluation; observation point approach; source element; weaker singularities; Boundary element methods; Convergence of numerical methods; Geometry; Green´s function methods; Integral equations; Jacobian matrices; Kernel; NASA; Object oriented programming; Surface treatment;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2007 IEEE
Conference_Location :
Honolulu, HI
Print_ISBN :
978-1-4244-0877-1
Electronic_ISBN :
978-1-4244-0878-8
DOI :
10.1109/APS.2007.4396630