Multiwavelets in solving integral equations of the 1st and 2nd kind

Meisong Tong, George Pan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Multiwavelet based moment method (MMM) is employed to solve the integral equations of the 1st and 2nd kind in 3D cases. We implement the partial derivative sampling along two orthogonal directions in order to keep tracking the directional derivative along arbitrary directions. This will produce a nonsquare impedance matrix if the traditional Galerkin's procedure is applied. We may obtain a square impedance matrix by reducing the number of the observation points, but the solution will be very sensitive to the distribution of the observation points. The least-mean-square method (LMS) is demon-strated to be very effective in solving nonsquare matrix equations. We conduct the LMS in our 3D MMM, thus the advantages of the MMM in 2D cases are preserved with a minor increase of the computational cost of the LMS.

Original languageEnglish (US)
Title of host publicationIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Pages1479-1482
Number of pages4
Volume2
StatePublished - 2004
EventIEEE Antennas and Propagation Society Symposium 2004 Digest held in Conjunction with: USNC/URSI National Radio Science Meeting - Monterey, CA, United States
Duration: Jun 20 2004Jun 25 2004

Other

OtherIEEE Antennas and Propagation Society Symposium 2004 Digest held in Conjunction with: USNC/URSI National Radio Science Meeting
CountryUnited States
CityMonterey, CA
Period6/20/046/25/04

Fingerprint

Method of moments
Integral equations
Derivatives
Sampling
Costs

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Tong, M., & Pan, G. (2004). Multiwavelets in solving integral equations of the 1st and 2nd kind. In IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) (Vol. 2, pp. 1479-1482)

Multiwavelets in solving integral equations of the 1st and 2nd kind. / Tong, Meisong; Pan, George.

IEEE Antennas and Propagation Society, AP-S International Symposium (Digest). Vol. 2 2004. p. 1479-1482.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tong, M & Pan, G 2004, Multiwavelets in solving integral equations of the 1st and 2nd kind. in IEEE Antennas and Propagation Society, AP-S International Symposium (Digest). vol. 2, pp. 1479-1482, IEEE Antennas and Propagation Society Symposium 2004 Digest held in Conjunction with: USNC/URSI National Radio Science Meeting, Monterey, CA, United States, 6/20/04.
Tong M, Pan G. Multiwavelets in solving integral equations of the 1st and 2nd kind. In IEEE Antennas and Propagation Society, AP-S International Symposium (Digest). Vol. 2. 2004. p. 1479-1482
Tong, Meisong ; Pan, George. / Multiwavelets in solving integral equations of the 1st and 2nd kind. IEEE Antennas and Propagation Society, AP-S International Symposium (Digest). Vol. 2 2004. pp. 1479-1482
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