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A novel high-order Nystrom scheme for 3D boundary integral equations

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2 Author(s)
M. S. Tong ; Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA ; W. C. Chew

The traditional Nystrom method is designed to treat regular integral kernels, whereas our boundary integral equations (BIE) present singular or hyper-singular kernels associated with the Green's functions. This problem has been solved by using the local corrections with a high-order accuracy for the singular or near-interaction terms. Although these local corrections are easy and efficient for simple cases, they may not be convenient to implement for 3D cases with curvilinear geometries. We develop a novel high-order Nystrom scheme based on the Lagrange interpolation for the unknown function. The scheme is easy to implement and the resulting error is controllable.

Published in:

2005 IEEE Antennas and Propagation Society International Symposium  (Volume:4A )

Date of Conference:

3-8 July 2005