Using of lanscoz and arnoldi algorithms for TLM-ROM

Dzianis Lukashevich, Andreas Cangellaris, Peter Russer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The finite-difference time-domain (FDTD) method and the transmission line matrix (TLM) method allow the formulation of state-equation representations of the discretized electromagnetic field. These representations usually involve very large numbers of state variables. Reduced order modeling (ROM) of the investigated structure may yield considerable reduction of the computational effort and can be used to generate compact models of the electromagnetic system. While complexity reduction approaches based on moment matching techniques have been intensively studied in the case of FDTD, they have not yet been considered for TLM. In this paper we apply Krylov subspace methods to TLM using the basic Arnoldi and non-symmetric Lanczos algorithm. It is shown that the inherent unitarity property of the TLM operator nevertheless implies an essential difference in comparison to former implementations for FDTD or circuit analysis. Simulation results for a rectangular cavity resonator using both TLM with and without ROM and a study of the convergence of the eigenvalues are presented here. Index Terms-Transmission Line Matrix (TLM) Method, Reduced Order Modeling (ROM).

Original languageEnglish (US)
Title of host publicationICEAA 2003 - International Conference on Electromagnetics in Advanced Applications
Pages629-632
Number of pages4
StatePublished - Dec 1 2003
Event8th International Conference on Electromagnetics in Advanced Applications, ICEAA 2003 - Torino, Italy
Duration: Sep 8 2003Sep 12 2003

Publication series

NameICEAA 2003 - International Conference on Electromagnetics in Advanced Applications

Other

Other8th International Conference on Electromagnetics in Advanced Applications, ICEAA 2003
CountryItaly
CityTorino
Period9/8/039/12/03

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Radiation

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