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Computing Elastic Interior Transmission Eigenvalues

In: Integral Methods in Science and Engineering

Author

Listed:
  • A. Kleefeld

    (Jülich Supercomputing Centre, Forschungszentrum Jülich GmbH)

  • M. Zimmermann

    (Medical Engineering and Technomathematics, Fachhochschule Aachen Campus Jülich)

Abstract

An alternative method is presented to numerically compute interior elastic transmission eigenvalues for various domains in two dimensions. This is achieved by discretizing the resulting system of boundary integral equations in combination with a nonlinear eigenvalue solver. Numerical results are given to show that this new approach can provide better results than the finite element method when dealing with general domains.

Suggested Citation

  • A. Kleefeld & M. Zimmermann, 2022. "Computing Elastic Interior Transmission Eigenvalues," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Paul J. Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 139-155, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-07171-3_10
    DOI: 10.1007/978-3-031-07171-3_10
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