Numerical Solutions for the Simulation of Monolithic Microwave Integrated Circuits
- Hebermehl, Georg
- Heinrich, Wolfgang
- Schlundt, Rainer
- 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.
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