WIAS Preprint No. 316, (1997)

Numerical Solutions for the Simulation of Monolithic Microwave Integrated Circuits



Authors

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

2010 Mathematics Subject Classification

  • 35Q60 35L20 65N22 65F10 65F15

Keywords

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

DOI

10.20347/WIAS.PREPRINT.316

Abstract

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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