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Sensitivity Analysis for Maxwell Eigenvalue Problems in Industrial Applications

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Book cover Advanced Finite Element Methods and Applications

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 66))

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Abstract

In this paper we focus on the sensitivity analysis of Maxwell’s eigenvalue problem, where the derivatives of the eigenvalues are calculated with respect to design parameters (i.e., material or geometrical parameters). Utilizing the adjoint approach the derivatives can be calculated at almost no additional cost. The challenge consists in the computation of the required derivatives (i.e., derivatives of bilinear forms with respect to the design parameters) from a higher order, curved finite element discretization. Numerical studies show the application for a real life electromagnetic filter application where the sensitivities of the eigenvalues give a better insight into the characteristics of the underlying filter. The benefit is apparent if the adjoint method is compared to a standard finite difference approach.

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Authors and Affiliations

  1. CST AG, Bad Nauheimerstr. 19, 64289, Darmstadt, Germany

    Stefan Reitzinger, Markus Wabro & Sabine Zaglmayr

Authors
  1. Stefan Reitzinger
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  2. Markus Wabro
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  3. Sabine Zaglmayr
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Correspondence to Stefan Reitzinger .

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Editors and Affiliations

  1. Inst. Mathematik und Bauinformatik, Universität der Bundeswehr München, Neubiberg, 85579, Germany

    Thomas Apel

  2. Institut für Numerische Mathematik, Technische Universität Graz, Steyrergasse 30, Graz, 8010, Austria

    Olaf Steinbach

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Reitzinger, S., Wabro, M., Zaglmayr, S. (2013). Sensitivity Analysis for Maxwell Eigenvalue Problems in Industrial Applications. In: Apel, T., Steinbach, O. (eds) Advanced Finite Element Methods and Applications. Lecture Notes in Applied and Computational Mechanics, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30316-6_11

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  • DOI: https://doi.org/10.1007/978-3-642-30316-6_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30315-9

  • Online ISBN: 978-3-642-30316-6

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