Interior Transmission Eigenvalues for Anisotropic Media

A. Kleefeld () and D. Colton ()
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A. Kleefeld: Forschungszentrum Jülich GmbH, Supercomputing Centre
D. Colton: University of Delaware, Department of Mathematical Sciences

Chapter Chapter 12 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 139-147 from Springer

Abstract: Abstract In this paper, the numerical calculation of interior transmission eigenvalues for anisotropic media in two dimensions is considered. This is achieved by reformulating the original problem into a system of boundary integral equations. The resulting nonlinear eigenvalue problem is solved with a recent method using complex-valued contour integrals. Numerical results show that one is also able to calculate complex-valued interior transmission eigenvalues, although the existence of those is still open.

Date: 2017
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DOI: 10.1007/978-3-319-59384-5_12

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