Multiwavelet based moment method under discrete Sobolev-type norm

George Pan, Meisong Tong, Barry Kent Gilbert

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Multiwavelets are successfully applied to Galerkin's method for solving integral equations. High precision and fast convergence are demonstrated because of the desirable properties of multiwavelets, including compact support, symmetry and antisymmetry, regularity (continuity and smoothness), explicit expressions, and more importantly, the orthogonality under a Sobolev-type inner product. As a result, numerical integrations in the testing procedure are carried out explicitly. Numerical examples are conducted for electromagnetic waves scattering from smooth surfaces and surfaces with sharp edges, and propagating along microstrips with finite thickness. The new algorithm demonstrates significant improvement over the traditional MoM in terms of momery and CPU time up to two orders of magnitude. The new algorithm is easy to implement and program.

Original languageEnglish (US)
Pages (from-to)47-50
Number of pages4
JournalMicrowave and Optical Technology Letters
Volume40
Issue number1
DOIs
StatePublished - Jan 5 2004
Externally publishedYes

Fingerprint

Method of moments
norms
Electromagnetic wave scattering
antisymmetry
moments
electromagnetic scattering
Galerkin method
orthogonality
Galerkin methods
wave scattering
numerical integration
regularity
continuity
Integral equations
Program processors
integral equations
electromagnetic radiation
Testing
symmetry
products

Keywords

  • Method of moments
  • Numerical method
  • Wavelet

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics

Cite this

Multiwavelet based moment method under discrete Sobolev-type norm. / Pan, George; Tong, Meisong; Gilbert, Barry Kent.

In: Microwave and Optical Technology Letters, Vol. 40, No. 1, 05.01.2004, p. 47-50.

Research output: Contribution to journalArticle

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