A Posteriori Error Bounds for Krylov-Based Fast Frequency Sweeps of Finite-Element Systems

Author

Konkel, Yves ; Farle, O. ; Sommer, A. ; Burgard, Stefan ; Dyczij-Edlinger, R.

Author_Institution

Dept. of Electromagn. Theor., Saarland Univ., Saarbrücken, Germany

Volume

50

Issue

2

fYear

2014

fDate

Feb. 2014

Firstpage

441

Lastpage

444

Abstract

Projection-based model reduction is a well-established methodology for computing fast frequency sweeps of finite-element (FE) approximations to passive microwave structures. This contribution presents a novel provable error bound for moment-matching reduced-order models of lossless systems. It improves over existing methods by increasing the accuracy of the estimate and by reducing numerical costs. Numerical studies demonstrate the benefits of the suggested approach.

Keywords

approximation theory; finite element analysis; microwave materials; FEA; Krylov-based fast frequency sweeps; finite-element approximations; finite-element systems; lossless systems; moment-matching reduced-order models; numerical cost reduction; passive microwave structures; posteriori error bounds; projection-based model reduction; provable error bound; Approximation methods; Eigenvalues and eigenfunctions; Impedance; Iron; Microwave theory and techniques; Read only memory; Vectors; Approximation error; finite-element (FE) methods; microwave devices; reduced-order systems;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2013.2285442

Filename

6748944