Topological sensitivity analysis for a three-dimensional parabolic type problem-Reference-Cited by-同舟云学术

Topological sensitivity analysis for a three-dimensional parabolic type problem

Published:2020-10-30 Issue:3-4 Volume:120 Page:249-272
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Ghezaiel Emna¹,Abdelwahed Mohamed²,Chorfi Nejmeddine²,Hassine Maatoug³

Affiliation:

1. ESSTHS, Sousse University, Tunisia

2. College of Sciences, King Saud University, Riyadh, Saudi Arabia

3. FSM, Department of Mathematics, Monastir University, Tunisia

Abstract

This work focuses on the topological sensitivity analysis of a three-dimensional parabolic type problem. The considered application model is described by the heat equation. We derive a new topological asymptotic expansion valid for various shape functions and geometric perturbations of arbitrary form. The used approach is based on a rigorous mathematical framework describing and analyzing the asymptotic behavior of the perturbed temperature field.

Publisher

IOS Press

Subject

General Mathematics

Reference23 articles.

1. Topological optimization method for a geometric control problem in Stokes flow;Abdelwahed;Applied Numerical Mathematics,2009

2. Control of a mechanical aeration process via topological sensitivity analysis;Abdelwahed;Journal of Computational and Applied Mathematics,2009

3. Optimal shape design for fluid flow using topological perturbation technique;Abdelwahed;Journal of Mathematical Analysis and applications,2009

4. Structural optimization using sensitivity analysis and a level-set method;Allaire;Journal of Computational Physics,2004

5. Crack detection by the topological gradient method;Amstutz;Control and Cybernetics,2005

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