Shape identification for convection–diffusion problem based on the continuous adjoint method

This paper is concerned with the shape identification problem of the convection–diffusion process for the transport of a contaminant in two dimensions. Based on the continuous adjoint method, the shape gradient of the cost functional is derived by involving a Lagrangian functional with the function...

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Bibliographic Details
Published in:Applied mathematics letters 2017-02, Vol.64, p.74-80
Main Authors: Yan, Wenjing, Hou, Jiangyong, Gao, Zhiming
Format: Article
Language:English
Subjects:
Continuous adjoint method
Convection–diffusion equations
Inverse problem
Shape identification
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Summary:This paper is concerned with the shape identification problem of the convection–diffusion process for the transport of a contaminant in two dimensions. Based on the continuous adjoint method, the shape gradient of the cost functional is derived by involving a Lagrangian functional with the function space parametrization technique. Then a gradient-type algorithm is applied to the shape reconstruction problem. The numerical examples indicate the proposed algorithm is feasible and effective.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2016.08.014