Hebermehl, Georg; Schlundt, Rainer; Zscheile, Horst; Heinrich, Wolfgang Improved numerical methods for the simulation of microwave circuits. (English) Zbl 0937.35176 Surv. Math. Ind. 9, No. 2, 117-129 (1999). Summary: The scattering matrix describes monolithic microwave integrated circuits that are connected to transmission lines in terms of their wave modes. By a finite-volume method the corresponding boundary value problem of Maxwell’s equations can be solved by means of a two-step procedure. An eigenvalue problem for nonsymmetric matrices yields the wave modes. The eigenfunctions determine the boundary values at the ports of the transmission lines for the calculation of the fields in the three-dimensional structure. The electromagnetic fields and the matrix elements are achieved by the solution of large-scale systems of linear equations with indefinite symmetric matrices. Improved numerical solutions for the time- and memory-consuming problems are treated in this paper. The numerical effort could be reduced considerably. Cited in 2 Documents MSC: 35Q60 PDEs in connection with optics and electromagnetic theory 65N22 Numerical solution of discretized equations for boundary value problems involving PDEs 78A45 Diffraction, scattering 35L20 Initial-boundary value problems for second-order hyperbolic equations 65F10 Iterative numerical methods for linear systems 65F15 Numerical computation of eigenvalues and eigenvectors of matrices Keywords:microwave device simulation; scattering matrix; Maxwellian equations; boundary value problem; finite-volume method; eigenvalue problem; system of linear algebraic equations Software:eigs PDFBibTeX XMLCite \textit{G. Hebermehl} et al., Surv. Math. Ind. 9, No. 2, 117--129 (1999; Zbl 0937.35176)