Author(s)

Wenjing Yan^*, Jiangyong Hou

School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, China.

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.

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

Yan, W. and Hou, J. (2015) Shape Identification for Stokes-Oseen Problem Based on Domain Derivative Method. Journal of Applied Mathematics and Physics, 3, 1662-1670. doi: 10.4236/jamp.2015.312191.