Projection-Based model-order reduction of large-scale Maxwell systems

V.L. Druskin, R.F. Remis, M. Zaslavsky, J.T. Zimmerling

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

2 Citations (Scopus)

Abstract

In this paper we present a structure-preserving model-order reduction technique to efficiently compute electromagnetic wave fields on unbounded domains. As an approximation space, we take the span of the real and imaginary parts of frequency-domain solutions of Maxwell's equations. Reduced-order models for the electromagnetic field belong to this space and the expansion coefficients of these models are determined from a Galerkin condition. We show that the models constructed in this manner are structure-preserving and interpolate the electromagnetic field responses at the expansion frequencies. Moreover, for monostatic field responses (coinciding sources and receivers), the first-order derivative of a reduced-order model with respect to frequency interpolates this first-order derivative of the unreduced monostatic field response as well. A two-dimensional numerical example illustrates the performance of the proposed reduction method.
Original languageEnglish
Title of host publicationProceedings of the 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA '17)
Place of PublicationPiscataway, NJ
PublisherIEEE
Pages385-388
Number of pages4
ISBN (Electronic)978-1-5090-4451-1
DOIs
Publication statusPublished - 2017
EventICEAA 2017: 19th International Conference on Electromagnetics in Advanced Applications - Verona, Italy
Duration: 11 Sep 201715 Sep 2017
Conference number: 19

Conference

ConferenceICEAA 2017
Abbreviated titleICEAA '17
CountryItaly
CityVerona
Period11/09/1715/09/17

Keywords

  • Reduced order systems
  • Mathematical model
  • Electromagnetics
  • Maxwell equations
  • Receivers
  • Computational modeling
  • Electromagnetic scattering

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