Model reduction of differential-algebraic equation systems using constructed spectral projectors

Samuel Kvasnicka; Klaus Roppert; Manfred Kaltenbacher

doi:10.1109/CEFC55061.2022.9940803

Model reduction of differential-algebraic equation systems using constructed spectral projectors

Samuel Kvasnicka, Klaus Roppert, Manfred Kaltenbacher

Institut für Grundlagen und Theorie der Elektrotechnik (4370)

Publikation: Beitrag in Buch/Bericht/Konferenzband › Beitrag in einem Konferenzband › Begutachtung

Abstract

This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for a DAE with index 1 or 2. Further, a interpolatory projection-based model order reduction technique using spectral projectors is applied to an electrical circuit to compute a reduced order model.

Originalsprache	englisch
Titel	2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)
Seitenumfang	2
DOIs	https://doi.org/10.1109/CEFC55061.2022.9940803
Publikationsstatus	Veröffentlicht - 2022
Veranstaltung	20th Biennial IEEE Conference on Electromagnetic Field Computation: CEFC 2022 - Virtual, Online, USA / Vereinigte Staaten Dauer: 24 Okt. 2022 → 26 Okt. 2022 Konferenznummer: 20 https://2022.ieeecefc.org/

Konferenz

Konferenz	20th Biennial IEEE Conference on Electromagnetic Field Computation
Kurztitel	CEFC 2022
Land/Gebiet	USA / Vereinigte Staaten
Ort	Virtual, Online
Zeitraum	24/10/22 → 26/10/22
Internetadresse	https://2022.ieeecefc.org/

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10.1109/CEFC55061.2022.9940803

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Kvasnicka, S , Roppert, K & Kaltenbacher, M 2022, Model reduction of differential-algebraic equation systems using constructed spectral projectors. in 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC). 20th Biennial IEEE Conference on Electromagnetic Field Computation, Virtual, Online, USA / Vereinigte Staaten, 24/10/22. https://doi.org/10.1109/CEFC55061.2022.9940803

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title = "Model reduction of differential-algebraic equation systems using constructed spectral projectors",

abstract = "This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for a DAE with index 1 or 2. Further, a interpolatory projection-based model order reduction technique using spectral projectors is applied to an electrical circuit to compute a reduced order model.",

keywords = "Differential-algebraic equation,, Spectral projector, Model order reduction, Modified nodal analysis",

author = "Samuel Kvasnicka and Klaus Roppert and Manfred Kaltenbacher",

year = "2022",

doi = "10.1109/CEFC55061.2022.9940803",

language = "English",

booktitle = "2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)",

note = "20th Biennial IEEE Conference on Electromagnetic Field Computation : CEFC 2022, CEFC 2022 ; Conference date: 24-10-2022 Through 26-10-2022",

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TY - GEN

T1 - Model reduction of differential-algebraic equation systems using constructed spectral projectors

AU - Kvasnicka, Samuel

AU - Roppert, Klaus

AU - Kaltenbacher, Manfred

N1 - Conference code: 20

PY - 2022

Y1 - 2022

N2 - This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for a DAE with index 1 or 2. Further, a interpolatory projection-based model order reduction technique using spectral projectors is applied to an electrical circuit to compute a reduced order model.

AB - This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for a DAE with index 1 or 2. Further, a interpolatory projection-based model order reduction technique using spectral projectors is applied to an electrical circuit to compute a reduced order model.

KW - Differential-algebraic equation,

KW - Spectral projector

KW - Model order reduction

KW - Modified nodal analysis

U2 - 10.1109/CEFC55061.2022.9940803

DO - 10.1109/CEFC55061.2022.9940803

M3 - Conference paper

BT - 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)

T2 - 20th Biennial IEEE Conference on Electromagnetic Field Computation

Y2 - 24 October 2022 through 26 October 2022

ER -

Model reduction of differential-algebraic equation systems using constructed spectral projectors

Abstract

Konferenz

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