WIAS Preprint No. 309, (1997)

Improved Numerical Solutions for the Simulation of Microwave Circuits


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

2010 Mathematics Subject Classification

  • 35Q60 35L20 65F10 65F50 65N22


  • Maxwell's equations, finite-difference method, system of simultaneous linear equations, independent set orderings, SSOR preconditioner




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.

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