Acceleration of time-domain TLM electromagnetic macromodeling trough the scattering-symmetric Lanczos algorithm

D. Lukashevich, Andreas C Cangellaris, P. Russer

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

Abstract

The non-symmetric properties of the TLM-matrix require the application of general Krylov subspace methods for Model Order Reduction (MOR). Application of the Arnoldi algorithm is computational expensive. Furthermore, the classical non-symmetric Lanczos algorithm requires the transpose TLM-matrix in order to form a biorthogonal basis for Krylov subspaces; hence, its algorithmic simplicity is also penalized in comparison to the time-domain TLM scheme. In this paper we describe a novel scattering-symmetric Lanczos algorithm, which is faster and consumes less memory in comparison to the conventional non-symmetric Lanczos algorithm, since the S-symmetric Lanczos algorithm generates the biorthogonal basis utilizing a single sequence like the symmetric Lanczos procedure. Along with the details of the proposed S-symmetric Lanczos algorithm, estimates are provided for its computational cost in comparison to the standard implicit TLM time evolution scheme, the general Arnoldi process and the non-symmetric Lanczos process.

Original languageEnglish (US)
Title of host publicationICEAA 2005 - 9th International Conference on Electromagnetics in Advanced Applications and EESC 2005 - 11th European Electromagnetic Structures Conference
Pages995-998
Number of pages4
StatePublished - Dec 1 2005
EventJoint 9th International Conference on Electromagnetics in Advanced Applications, ICEAA 2005 and 11th European Electromagnetic Structures Conference, EESC 2005 - Torino, Italy
Duration: Sep 12 2005Sep 16 2005

Publication series

NameICEAA 2005 - 9th International Conference on Electromagnetics in Advanced Applications and EESC 2005 - 11th European Electromagnetic Structures Conference

Other

OtherJoint 9th International Conference on Electromagnetics in Advanced Applications, ICEAA 2005 and 11th European Electromagnetic Structures Conference, EESC 2005
CountryItaly
CityTorino
Period9/12/059/16/05

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Radiation

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