2024-03-29T15:45:00Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00028842
2023-01-16T04:21:55Z
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An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data
Rabago, Julius Fergy T.
Azegami, Hideyuki
open access
Bernoulli problem
Domain perturbation
Free boundary
Lagrangian method
Minimax formulation
Shape derivative
Shape optimization
We propose a new shape optimization formulation of the Bernoulli problem by tracking the Neumann data. The associated state problem is an equivalent formulation of the Bernoulli problem with a Robin condition. We devise an iterative procedure based on a Lagrangian-like approach to numerically solve the minimization problem. The proposed scheme involves the knowledge of the shape gradient which is established through the minimax formulation. We illustrate the feasibility of the proposed method and highlight its advantage over the classical setting of tracking the Neumann data through several numerical examples.
Springer
2019-08-15
eng
journal article
AM
http://hdl.handle.net/2237/00031029
https://nagoya.repo.nii.ac.jp/records/28842
https://doi.org/10.1007/s10665-019-10005-x
0022-0833
Journal of Engineering Mathematics
117
1
1
29
https://nagoya.repo.nii.ac.jp/record/28842/files/main.pdf
application/pdf
2.1 MB
2020-08-15