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

Research output: Conference proceeding/Chapter in Book/Report/ › Conference Paper › peer-review

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.

Original language	English
Title of host publication	2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)
Pages	1-2
Number of pages	2
DOIs	https://doi.org/10.1109/CEFC55061.2022.9940803
Publication status	Published - 26 Oct 2022
Externally published	Yes
Event	2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC) - Denver, CO, USA Duration: 24 Oct 2022 → 26 Oct 2022

Conference

Conference	2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)
Period	24/10/22 → 26/10/22

Keywords

Computational modeling
Mathematical models
Reduced order systems
Indexes
Electromagnetic fields
Integrated circuit modeling

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10.1109/CEFC55061.2022.9940803

https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9940803

Cite this

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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 = "Computational modeling, Mathematical models, Reduced order systems, Indexes, Electromagnetic fields, Integrated circuit modeling",

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

year = "2022",

month = oct,

day = "26",

doi = "10.1109/CEFC55061.2022.9940803",

language = "English",

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

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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)., 9940803, pp. 1-2, 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC), 24/10/22. https://doi.org/10.1109/CEFC55061.2022.9940803

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

AU - Kvasnicka, Samuel

AU - Roppert, Klaus

AU - Kaltenbacher, Manfred

PY - 2022/10/26

Y1 - 2022/10/26

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 - Computational modeling

KW - Mathematical models

KW - Reduced order systems

KW - Indexes

KW - Electromagnetic fields

KW - Integrated circuit modeling

UR - https://ieeexplore.ieee.org/document/9940803/

U2 - 10.1109/CEFC55061.2022.9940803

DO - 10.1109/CEFC55061.2022.9940803

M3 - Conference Paper

SN - 978-1-6654-6834-3

SP - 1

EP - 2

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

T2 - 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)

Y2 - 24 October 2022 through 26 October 2022

ER -

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

Abstract

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Keywords

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