On the Shape Differentiability of Objectives: A Lagrangian Approach and the Brinkman Problem

On the Shape Differentiability of Objectives: A Lagrangian Approach and the Brinkman Problem

This paper establishes the shape derivative of geometry-dependent objective functions for use in constrained variational problems. Using a Lagrangian approach, our differentiablity result is based on the theorem of Delfour⁻Zolésio on directional derivatives with respect to a param...

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Bibliographic Details
Main Authors: José Rodrigo González Granada, Joachim Gwinner, Victor A. Kovtunenko
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Series:Axioms
Subjects:
constrained optimization
variational inequality
Lagrangian
geometry-dependent objective function
shape derivative
Delfour–Zolésio theorem
divergence-free Brinkman flow
Online Access:https://www.mdpi.com/2075-1680/7/4/76

Internet

https://www.mdpi.com/2075-1680/7/4/76

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