Shape Optimization Approach to the Bernoulli Problem: A Lagrangian Formulation

Shape Optimization Approach to the Bernoulli Problem: A Lagrangian Formulation

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 tra...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IAENG international journal of applied mathematics 2017-11, Vol.47 (4), p.1-8
Hauptverfasser: Rabago, Julius Fergy T, Bacani, Jerico B
Format: Artikel
Sprache:eng
Schlagworte:
Dirichlet problem
Free boundaries
Scientific apparatus & instruments
Shape optimization
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:1992-9978
1992-9986