Untitled http://dspace.upb.edu.ph/jspui/handle/123456789/13 2026-08-17T19:14:58Z On Preserving Essential Spectra and Nullities of Special Expressions in a Weighted Space http://dspace.upb.edu.ph/jspui/handle/123456789/32 On Preserving Essential Spectra and Nullities of Special Expressions in a Weighted Space Peralta, Gilbert R.; Bacani, Jerico B. 2018-08-01T00:00:00Z Shape Optimization Approach to the Bernoulli Problem http://dspace.upb.edu.ph/jspui/handle/123456789/31 Shape Optimization Approach to the Bernoulli Problem Rabago, Julius Fergy T.; Bacani, Jerico B. 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. 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. 2018-08-01T00:00:00Z