EFFICIENT SOLUTION OF THE DIFFERENTIAL FORM OF MAXWELLS EQUATIONS IN RECTANGULAR REGIONS

One of the problems of the finite element and the finite difference me thod is that as the dimension of the problem increases, the condition number of the system matrix increases as Theta(1/h(2)) (of the order o f h(2), where h is the subsection length), Through the use of a suitab le basis function tailored for rectangular regions, it is shown that t he growth of the condition number can be checked while still retaining the sparsity of the system matrix, This is achieved through a proper choice of entire domain basis functions, Numerical examples have been presented for efficient solution of waveguide problems with rectangula r regions utilizing this approach.