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| 001 | 875440 | ||
| 005 | 20210130004932.0 | ||
| 024 | 7 | _ | |a 2128/24939 |2 Handle |
| 037 | _ | _ | |a FZJ-2020-02035 |
| 041 | _ | _ | |a English |
| 100 | 1 | _ | |a Kleefeld, Andreas |0 P:(DE-Juel1)169421 |b 0 |e Corresponding author |u fzj |
| 111 | 2 | _ | |a Computational and Mathematical Methods in Science and Engineering |g CMMSE2019 |c Cadiz |d 2019-06-30 - 2019-07-06 |w Spain |
| 245 | _ | _ | |a New Numerical Results for the Optimization of Neumann Eigenvalues |
| 260 | _ | _ | |a Basel |c 2020 |b Birkhäuser |
| 295 | 1 | 0 | |a Computational and Analytic Methods in Science and Engineering |
| 300 | _ | _ | |a 1-19 |
| 336 | 7 | _ | |a CONFERENCE_PAPER |2 ORCID |
| 336 | 7 | _ | |a Conference Paper |0 33 |2 EndNote |
| 336 | 7 | _ | |a INPROCEEDINGS |2 BibTeX |
| 336 | 7 | _ | |a conferenceObject |2 DRIVER |
| 336 | 7 | _ | |a Output Types/Conference Paper |2 DataCite |
| 336 | 7 | _ | |a Contribution to a conference proceedings |b contrib |m contrib |0 PUB:(DE-HGF)8 |s 1591098943_5616 |2 PUB:(DE-HGF) |
| 336 | 7 | _ | |a Contribution to a book |0 PUB:(DE-HGF)7 |2 PUB:(DE-HGF) |m contb |
| 520 | _ | _ | |a We present new numerical results for shape optimization problems ofinterior Neumann eigenvalues. This field is not well understood from a theoreticalstandpoint. The existence of shape maximizers is not proven beyond the firsttwo eigenvalues, so we study the problem numerically. We describe a method tocompute the eigenvalues for a given shape that combines the boundary elementmethod with an algorithm for nonlinear eigenvalues. As numerical optimizationrequires many such evaluations, we put a focus on the efficiency of the methodand the implemented routine. The method is well suited for parallelization. Usingthe resulting fast routines and a specialized parametrization of the shapes, we foundimproved maxima for several eigenvalues. |
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| 700 | 1 | _ | |a Abele, Daniel |0 P:(DE-Juel1)177946 |b 1 |u fzj |
| 856 | 4 | _ | |y OpenAccess |u https://juser.fz-juelich.de/record/875440/files/abele.pdf |
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| 914 | 1 | _ | |y 2020 |
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