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The Discrete Eigenvalue Problem

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Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

This chapter is devoted to the discussion of the solution of Problem 2.32, i.e., the computation of resonant frequencies within perfectly conducting structures.

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References

  1. Beyn W-J (2012) An integral method for solving nonlinear eigenvalue problems. Linear Algebra Appl 436(10):3839–3863. Special Issue dedicated to Heinrich Voss’s 65th birthday

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  3. Imakura A, Du L, Sakurai T (2016) Relationships among contour integral-based methods for solving generalized eigenvalue problems. Jpn J Ind Appl Math 33(3):721–750

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  4. Mennicken R, Möller M (2003) Non-self-adjoint boundary eigenvalue problems, 1st edn, vol 192. Mathematics Studies 1. Elsevier, Amsterdam

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  5. Unger G (2017) Convergence analysis of a Galerkin boundary element method for electromagnetic eigenvalue problems. Technical Report 2017/2, Institute of Computational Mathematics, Graz University of Technology

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  6. Kurz S, Schöps S, Unger G, Wolf F, Solving Maxwell’s Eigenvalue problem via isogeometric boundary elements and a contour integral method. In preparation

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  7. Benoît J, Guennebaud G (2019) Eigen3 C++ linear algebra template library. Official website, https://eigen.tuxfamily.org. Accessed 20 Aug 2019

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Authors and Affiliations

  1. Institute TEMF and Centre for Computational Engineering, Computational Electromagnetics Technische, Technical University of Darmstadt, Darmstadt, Germany

    Dr. Felix Wolf

Authors
  1. Dr. Felix Wolf
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Correspondence to Felix Wolf .

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Wolf, F. (2021). The Discrete Eigenvalue Problem. In: Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism . Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-61939-8_6

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  • DOI: https://doi.org/10.1007/978-3-030-61939-8_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-61938-1

  • Online ISBN: 978-3-030-61939-8

  • eBook Packages: EngineeringEngineering (R0)

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