Utilization of wavelet concepts into the finite element method for efficient solution of Maxwell´s equations

The wavelet concept has been introduced in the applied mathematics literature as a new mathematical subject tor performing localized time-frequency characterization. It is a versatile tool with very rich mathematical content and great potential for application. Because of this localized property both in the original and in the transform domain it is expected that its application to the numerical solution of partial differential equations would be quite interesting for electromagnetic field problems. In this paper this concept is explained with application to one dimension (ID) and two dimensions (2D) differential equations. Numerical examples have been presented showing the features of the method.