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http://dspace.upb.edu.ph/jspui/handle/123456789/31| Title: | Shape Optimization Approach to the Bernoulli Problem |
| Other Titles: | A Lagrangian Formulation |
| Authors: | Rabago, Julius Fergy T. Bacani, Jerico B. |
| Keywords: | Bernoulli free boundary problem overdetermined boundary value problem shape derivative Lagrange method minimax formulation |
| Issue Date: | Aug-2018 |
| Citation: | Paper presented in the International Congress of Mathematicians 2018 (ICM 2018), held in Rio de Janeiro, Brazil, on July 31, 2018 - August 9, 2018. |
| Abstract: | The exterior Bernoulli free boundary problem is reformulated into a shape optimization setting by tracking the Dirichlet data. The shape derivative of the corresponding cost functional is established through a Lagrangian formulation coupled with the velocity method. A numerical example using the traction method or H1 gradient method is also provided. |
| Description: | The full paper has the following citation: Julius Fergy T. Rabago, and Jerico B. Bacani, "Shape Optimization Approach to the Bernoulli Problem: A Lagrangian Formulation," IAENG International Journal of Applied Mathe- matics, vol. 47, no. 4, pp. 417-424, 2017. |
| URI: | http://dspace.upb.edu.ph/jspui/handle/123456789/31 |
| Appears in Collections: | Untitled |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Rabago & Bacani_Shape Optimization Approach to the Bernoulli Problem.pdf | 97.1 kB | Adobe PDF | View/Open |
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