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.
