Title :
A study for the fast solution of electromagnetic scattering problems: a wavelet based approach
Author :
Kurt, M. Bahattin ; Ari, Niyazi ; Cerezci, Osman
Author_Institution :
Inst. of Sci. & Technol., Univ. of Sakarya, Turkey
Abstract :
Conventional method of moments (MoM), when directly applied to integral equations arising in numerical solution of electromagnetic (EM) scattering problems, leads to a dense( fully populated) matrix which often becomes computationally ungovernable even for supercomputers, especially when the electrical size of the scatterer becomes large. To overcome this difficulty, wavelet bases have been used recently which lead to a sparse matrix that can be solved easily by an efficient sparse solver. Using wavelet in solving EM integral equations has been widely studied. The purpose of this paper is to develop a strategy for efficient wavelet solution of integral equations by connecting and using efficient studies done in this area. Numerical results are provided to illustrate the validity of the proposed approach.
Keywords :
electromagnetic wave scattering; integral equations; method of moments; sparse matrices; wavelet transforms; EM integral equations; electrical size; electromagnetic scattering problems; integral equations; method of moments; sparse matrix; sparse solver; wavelet based approach; Discrete wavelet transforms; Electromagnetic scattering; Integral equations; Joining processes; Matrix converters; Message-oriented middleware; Moment methods; Sparse matrices; Supercomputers; Testing;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2002. MMET '02. 2002 International Conference on
Conference_Location :
Kiev, Ukraine
Print_ISBN :
0-7803-7391-X
DOI :
10.1109/MMET.2002.1106963