Mohamed Abdelwahed, Montassar Barhoumi, Nejmeddine Chorfi
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.
Submitted July 29, 2017. Published September 25, 2017.
Math Subject Classifications: 35N25, 49K40.
Key Words: Stokes flow; reciprocity gap function; calculus of variations;
topological sensitivity.
Show me the PDF file (197 KB), TEX file for this article.
 |
Mohamed Abdelwahed Department of Mathematics, College of Sciences King Saud University Riyadh, Saudi Arabia email: mabdelwahed@ksu.edu.sa |
|---|---|
 |
Montassar Barhoumi Department of Mathematics ESSTHS, Sousse University Sousse University, Tunisia email: montassar.barhoumi2014@gmail.com |
 |
Nejmeddine Chorfi Department of Mathematics, College of Sciences King Saud University Riyadh, Saudi Arabia email: nchorfi@ksu.edu.sa |
Return to the EJDE web page