Improved Numerical Solutions for the Simulation of Monolithic Microwave Integrated Circuits

The electrical properties of the circuits are described in terms of their scattering matrix using Maxwellian equations. Using a finite-volume scheme a three-dimensional boundary value problem for the Maxwellian equations in the frequency domain can be solved. This results in a two-step procedure: a time and memory consuming eigenvalue problem for nonsymmetric matrices and the solution of a large-scale system of linear equations with indefinite symmetric matrices. Improved numerical solutions for these two linear algebraic problems, the computation of the scattering matrix and of the used orthogonality relation are treated in this paper. The numerical effort could be reduced considerably