Shape Optimization Approach to the Bernoulli Problem

Rabago, Julius Fergy T.; Bacani, Jerico B.

dc.contributor.author	Rabago, Julius Fergy T.
dc.contributor.author	Bacani, Jerico B.
dc.date.accessioned	2019-09-12T08:59:29Z
dc.date.available	2019-09-12T08:59:29Z
dc.date.issued	2018-08
dc.identifier.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.	en_US
dc.identifier.uri	http://dspace.upb.edu.ph/jspui/handle/123456789/31
dc.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.	en_US
dc.description.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.	en_US
dc.language.iso	en_US	en_US
dc.subject	Bernoulli free boundary problem	en_US
dc.subject	overdetermined boundary value problem	en_US
dc.subject	shape derivative	en_US
dc.subject	Lagrange method	en_US
dc.subject	minimax formulation	en_US
dc.title	Shape Optimization Approach to the Bernoulli Problem	en_US
dc.title.alternative	A Lagrangian Formulation	en_US
dc.type	Presentation	en_US