Improved Numerical Solutions for the Simulation of Microwave Circuits

The electromagnetic characteristics of microwave circuits can be described by the scattering matrix. This results in a three-dimensional boundary value problem, which can be solved using the Finite Difference method in the Frequency Domain (FDFD). A time consuming part of the FDFD-method is the solution of large systems of linear algebraic equations. The coefficient matrix is sparse, symmetric, and indefinite. Using multicoloring and independent set orderings essential numerical improvements are achieved