WIAS Preprint No. 316, (1997)

Numerical Solutions for the Simulation of Monolithic Microwave Integrated Circuits


  • Hebermehl, Georg
  • Heinrich, Wolfgang
  • Schlundt, Rainer
    ORCID: 0000-0002-4424-4301
  • Zscheile, Horst

2010 Mathematics Subject Classification

  • 35Q60 35L20 65N22 65F10 65F15


  • Microwave device simulation, scattering matrix, Maxwellian equations, boundary value problem, finite-volume method, eigenvalue problem, system of simultaneous linear systems




The electric properties of monolithic microwave integrated circuits can be described in terms of their scattering matrix using Maxwellian equations. The corresponding three-dimensional boundary value problem of Maxwell's equations can be solved by means of a finite-volume scheme in the frequency domain. 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 are treated.

Appeared in

  • Progress in Industrial Mathematics at ECMI 96, Morton Brons, Martin Philip Bendsoe and Mads Peter Sorensen, eds., B.G.Teubner Stuttgart, 1997, pp. 176-183.

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