On the topological gradient method for an inverse problem resolution

On the topological gradient method for an inverse problem resolution

In this work, we consider the topological gradient method to deal with an inverse problem associated with three-dimensional Stokes equations. The problem consists in detecting unknown point forces acting on fluid from measurements on the boundary of the domain. We present an asymptotic expansion of...

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Bibliographic Details
Published in:Advances in nonlinear analysis Vol. 12; no. 1; pp. 1 - 6
Main Authors: Abdelwahed, Mohamed, Chorfi, Nejmeddine
Format: Journal Article
Language:English
Published: De Gruyter 13-10-2023
Subjects:
35M12
49Q12
74P15
inverse problem
sensitivity analysis
topological gradient
Online Access:Get full text
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Summary:In this work, we consider the topological gradient method to deal with an inverse problem associated with three-dimensional Stokes equations. The problem consists in detecting unknown point forces acting on fluid from measurements on the boundary of the domain. We present an asymptotic expansion of the considered cost function using the topological sensitivity analysis method. A detection algorithm is then presented using the developed formula. Some numerical tests are presented to show the efficiency of the presented algorithm.
ISSN:2191-950X
2191-950X
DOI:10.1515/anona-2023-0109