Title :
New Method for Handling Near-Hypersingular Integrals in BEM Formulations
Author :
Fink, P.W. ; Wilton, D.R. ; Khayat, M.A.
Author_Institution :
NASA Johnson Space Center, Houston
Abstract :
Efficient numerical procedures for evaluating the gradient of Helmholtz-type potentials are presented. The convergence behavior of both normal and tangential components of the gradient is examined. Special attention is given to cases in which the observation point is near an edge of the source element, and methods for handling these cases are presented.
Keywords :
Helmholtz equations; boundary-elements methods; convergence of numerical methods; integral equations; BEM formulations; Helmholtz-type potentials; convergence behavior; near-hypersingular integrals; normal components; numerical procedures; tangential components; Application software; Convergence of numerical methods; Geometry; Jacobian matrices; NASA; Power engineering and energy; Power engineering computing; USA Councils;
Conference_Titel :
Electromagnetics in Advanced Applications, 2007. ICEAA 2007. International Conference on
Conference_Location :
Torino
Print_ISBN :
978-1-4244-0767-5
Electronic_ISBN :
978-1-4244-0767-5
DOI :
10.1109/ICEAA.2007.4387470
