Title :
Numerical solution of Maxwell´s equations by wavelets on the interval and equivalence theorem
Author :
Barmada, Sami ; Musolino, Antonino ; Raugi, Marco ; Rizzo, Rocco
Author_Institution :
Dipt. Sistemi Elettrici e Automazione, Pisa Univ., Italy
fDate :
3/1/2002 12:00:00 AM
Abstract :
In this paper, a new method for the numerical solution of two-dimensional electromagnetic problems by wavelets on the interval and equivalence theorem is proposed. By adopting the equivalence theorem, the computational domain is restricted to the conductive regions while expanding the space variables by wavelets on the interval we obtain a storage of the unknowns in a matrix form instead of the usual vector form, yielding savings of memory storage and CPU times
Keywords :
Maxwell equations; conducting bodies; electromagnetic fields; wavelet transforms; Maxwell´s equations; computational domain; conductive regions; equivalence theorem; interval theorem; matrix form; numerical solution; space variables; two-dimensional electromagnetic problems; wavelets; Casting; Electromagnetic scattering; Finite difference methods; Finite element methods; Maxwell equations; Sparse matrices; Two dimensional displays; Wavelet coefficients; Wavelet domain; Wavelet transforms;
Journal_Title :
Magnetics, IEEE Transactions on