Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642350 | Journal of Computational and Applied Mathematics | 2008 | 9 Pages |
Abstract
This paper deals with the shape reconstruction of a viscous incompressible fluid driven by the Stokes flow. For the approximate solution of the ill-posed and nonlinear problem we propose a regularized Newton method. A theoretical foundation for the Newton method is given by establishing the differentiability of the initial boundary value problem with respect to the interior boundary curve in the sense of a domain derivative. The numerical examples show that our theory is useful for practical purpose and the proposed algorithm is feasible.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Wen-Jing Yan, Yi-Chen Ma,