Numerical solution of Maxwell's equations by wavelets on the interval and equivalence theorem

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 a savings of memory storage and CPU times. Index Terms--Equivalence theorem, wavelet expansion.