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001     850311
005     20210129234549.0
037 _ _ |a FZJ-2018-04353
041 _ _ |a English
100 1 _ |a Kleefeld, Andreas
|0 P:(DE-Juel1)169421
|b 0
|e Corresponding author
|u fzj
111 2 _ |a 15th International Conference on Integral Methods in Science and Engineering
|g IMSE2018
|c Brighton
|d 2018-07-16 - 2018-07-20
|w United Kingdom
245 _ _ |a Shape optimization for interior Neumann and transmission eigenvalues
260 _ _ |c 2018
336 7 _ |a Conference Paper
|0 33
|2 EndNote
336 7 _ |a Other
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336 7 _ |a INPROCEEDINGS
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336 7 _ |a Conference Presentation
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520 _ _ |a Shape optimization problems for interior eigenvalues is a very challenging task since already the computation of interior eigenvalues for a given shape is far from trivial. For example, a maximizer with respect to shapes of fixed area is theoretically established only for the first two non-trivial Neumann eigenvalues. The existence of such a maximizer for higher Neumann eigenvalues is still unknown. Hence, the problem should be addressed numerically. Better numerical results are achieved for the maximization of some Neumann eigenvalues using boundary integral equations for a simplified parametrization of the boundary in combination with a non-linear eigenvalue solver. Shape optimization for interior transmission eigenvalues is even more complicated since the corresponding transmission problem is non-self-adjoint and non-elliptic.For the first time numerical results are presented for the minimization of interior transmission eigenvalues for which no single theoretical result is yet available.
536 _ _ |a 511 - Computational Science and Mathematical Methods (POF3-511)
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910 1 _ |a Forschungszentrum Jülich
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914 1 _ |y 2018
920 _ _ |l no
920 1 _ |0 I:(DE-Juel1)JSC-20090406
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|l Jülich Supercomputing Center
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980 _ _ |a VDB
980 _ _ |a I:(DE-Juel1)JSC-20090406
980 _ _ |a UNRESTRICTED

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