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. Electronic Journal of Differential Equations, 2017(233), pp. 1-9.
Rights
Attribution 4.0 International