Determination of obstacles in Stokes flow by boundary measurement

Date

2017-09-25

Authors

Abdelwahed, Mohamed
Barhoumi, Montassar
Chorfi, Nejmeddine

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We study the determination of some obstacles in a Stokes flow domain with overdetermined boundary data. We use a method based on the topological sensitivity technique associated to the reciprocity gap function concept. We develop an asymptotic formula between the flow parameters and the boundary data. The obtained formula is interesting and serve as a useful tool to develop an accurate and robust numerical method in geometry inverse problems.

Description

Keywords

Stokes flow, Reciprocity gap function, Calculus of variations, Topological sensitivity

Citation

Abdelwahed, M., Barhoumi, M., & Chorfi, N. (2017). Determination of obstacles in Stokes flow by boundary measurement. <i>Electronic Journal of Differential Equations, 2017</i>(233), pp. 1-9.

Rights

Attribution 4.0 International

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