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.

Download Documents