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2014 Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method
Wenjing Yan, Jian Su, Feifei Jing
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/673108

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.

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Wenjing Yan. Jian Su. Feifei Jing. "Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/673108

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022849
MathSciNet: MR3178880
Digital Object Identifier: 10.1155/2014/673108

Rights: Copyright © 2014 Hindawi

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