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| Home > Publications database > Shape Optimization for Interior Neumann and Transmission Eigenvalues > print |
| 001 | 863988 | ||
| 005 | 20210130002359.0 | ||
| 020 | _ | _ | |a 978-3-030-16076-0 |
| 024 | 7 | _ | |a 10.1007/978-3-030-16077-7_15 |2 doi |
| 024 | 7 | _ | |a 2128/22510 |2 Handle |
| 037 | _ | _ | |a FZJ-2019-03904 |
| 041 | _ | _ | |a English |
| 100 | 1 | _ | |a Kleefeld, Andreas |0 P:(DE-Juel1)169421 |b 0 |e Corresponding author |u fzj |
| 245 | _ | _ | |a Shape Optimization for Interior Neumann and Transmission Eigenvalues |
| 260 | _ | _ | |a Cham |c 2019 |b Springer International Publishing |
| 295 | 1 | 0 | |a Integral Methods in Science and Engineering |
| 300 | _ | _ | |a 185-196 |
| 336 | 7 | _ | |a BOOK_CHAPTER |2 ORCID |
| 336 | 7 | _ | |a Book Section |0 7 |2 EndNote |
| 336 | 7 | _ | |a bookPart |2 DRIVER |
| 336 | 7 | _ | |a INBOOK |2 BibTeX |
| 336 | 7 | _ | |a Output Types/Book chapter |2 DataCite |
| 336 | 7 | _ | |a Contribution to a book |b contb |m contb |0 PUB:(DE-HGF)7 |s 1563784738_22466 |2 PUB:(DE-HGF) |
| 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 concrete 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) |0 G:(DE-HGF)POF3-511 |c POF3-511 |f POF III |x 0 |
| 588 | _ | _ | |a Dataset connected to CrossRef Book |
| 773 | _ | _ | |a 10.1007/978-3-030-16077-7_15 |
| 856 | 4 | _ | |y OpenAccess |u https://juser.fz-juelich.de/record/863988/files/1810.00629-1.pdf |
| 856 | 4 | _ | |y OpenAccess |u https://juser.fz-juelich.de/record/863988/files/kleefeldARXIV.pdf |
| 856 | 4 | _ | |y OpenAccess |x pdfa |u https://juser.fz-juelich.de/record/863988/files/kleefeldARXIV.pdf?subformat=pdfa |
| 856 | 4 | _ | |y OpenAccess |x pdfa |u https://juser.fz-juelich.de/record/863988/files/1810.00629-1.pdf?subformat=pdfa |
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| 910 | 1 | _ | |a Forschungszentrum Jülich |0 I:(DE-588b)5008462-8 |k FZJ |b 0 |6 P:(DE-Juel1)169421 |
| 913 | 1 | _ | |a DE-HGF |b Key Technologies |1 G:(DE-HGF)POF3-510 |0 G:(DE-HGF)POF3-511 |2 G:(DE-HGF)POF3-500 |v Computational Science and Mathematical Methods |x 0 |4 G:(DE-HGF)POF |3 G:(DE-HGF)POF3 |l Supercomputing & Big Data |
| 914 | 1 | _ | |y 2019 |
| 915 | _ | _ | |a OpenAccess |0 StatID:(DE-HGF)0510 |2 StatID |
| 920 | _ | _ | |l no |
| 920 | 1 | _ | |0 I:(DE-Juel1)JSC-20090406 |k JSC |l Jülich Supercomputing Center |x 0 |
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| 980 | 1 | _ | |a FullTexts |
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