Shape Reconstruction for Unsteady Advection‐Diffusion Problems by Domain Derivative Method

Wenjing Yan, Jian Su and Feifei Jing

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper is concerned with the numerical simulation for shape reconstruction of the unsteady advection‐diffusion problems. The continuous dependence of the solution on variations of the boundary is established, and the explicit representation of domain derivative of corresponding equations is derived. This allows the investigation of iterative method for the ill‐posed problem. By the parametric method, a regularized Gauss‐Newton scheme is employed to the shape inverse problem. Numerical examples indicate that the proposed algorithm is feasible and effective for the practical purpose.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/673108

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:673108

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().