Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1706049 | Applied Mathematical Modelling | 2012 | 9 Pages |
Abstract
This paper is concerned with the shape reconstruction of a bounded domain with a viscous incompressible fluid driven by the Oseen equations. For the approximate solution of the ill-posed and nonlinear problem we propose a regularized Gauss–Newton method. A theoretical foundation for the method is given by establishing the differentiability of the boundary value problem with respect to the boundary in the sense of the domain derivative. The results of several numerical experiments show that our theory is useful for practical purpose, and the proposed algorithm is feasible.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Wenjing Yan, Yaling He, Yichen Ma,