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| 001 | 891450 | ||
| 005 | 20210623133456.0 | ||
| 024 | 7 | _ | |a 2128/27507 |2 Handle |
| 037 | _ | _ | |a FZJ-2021-01532 |
| 041 | _ | _ | |a English |
| 100 | 1 | _ | |a Kleefeld, Andreas |0 P:(DE-Juel1)169421 |b 0 |e Corresponding author |u fzj |
| 111 | 2 | _ | |a UL Virtual Colloquium |w USA |
| 245 | _ | _ | |a The hot spots conjecture can be false: Some numerical examples using boundary integral equations |f 2021-03-25 - |
| 260 | _ | _ | |c 2021 |
| 336 | 7 | _ | |a Conference Paper |0 33 |2 EndNote |
| 336 | 7 | _ | |a Other |2 DataCite |
| 336 | 7 | _ | |a INPROCEEDINGS |2 BibTeX |
| 336 | 7 | _ | |a LECTURE_SPEECH |2 ORCID |
| 336 | 7 | _ | |a Talk (non-conference) |b talk |m talk |0 PUB:(DE-HGF)31 |s 1616754976_22825 |2 PUB:(DE-HGF) |x Invited |
| 336 | 7 | _ | |a Other |2 DINI |
| 502 | _ | _ | |c University of Lafayette |
| 520 | _ | _ | |a The hot spots conjecture is only known to be true for special geometries. It can be shown numerically that the hot spots conjecture can fail to be true for easy to construct bounded domains with one hole. The underlying eigenvalue problem for the Laplace equation with Neumann boundary condition is solved with boundary integral equations yielding a non-linear eigenvalue problem. Its discretization via the boundary element collocation method in combination with the algorithm by Beyn yields highly accurate results both for the first non-zero eigenvalue and its corresponding eigenfunction which is due to superconvergence. Finally, numerical examples for easy to construct domains with up to five holes are provided which fail the hot spots conjecture as well. |
| 536 | _ | _ | |a 511 - Enabling Computational- & Data-Intensive Science and Engineering (POF4-511) |0 G:(DE-HGF)POF4-511 |c POF4-511 |x 0 |f POF IV |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/891450/files/lafayette2021.pdf |y OpenAccess |
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| 914 | 1 | _ | |y 2021 |
| 915 | _ | _ | |a OpenAccess |0 StatID:(DE-HGF)0510 |2 StatID |
| 920 | _ | _ | |l no |
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| 980 | _ | _ | |a UNRESTRICTED |
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| 980 | 1 | _ | |a FullTexts |
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