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Delfour, M.C. and Zolésio, J.P. (2002) Shapes and Geometries: Analysis, Differential Calculus and Optimization, Advance in Design and Control. Springer, Berlin.

has been cited by the following article:

• TITLE: Shape Identification for Stokes-Oseen Problem Based on Domain Derivative Method

  AUTHORS: Wenjing Yan, Jiangyong Hou

  KEYWORDS: Inverse Problem, Shape Identification, Stokes-Oseen Equations, Domain Derivative Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.12, December 29, 2015

  ABSTRACT: In this paper, we consider the shape identification problem of a body immersed in the incompressible fluid governed by Stokes-Oseen equations. Based on the domain derivative method, we derive the explicit representation of the derivative of solution with respect to the boundary. Then, according to the boundary parametrization technique, we propose a regularized Gauss-Newton algorithm for the shape inverse problem. Finally, numerical examples indicate that the iterative algorithm is feasible and effective for the practical purpose.