An energy-gap cost functional for cavities identification

  • Emna Jaῒem
  • Sinda Khalfallah

Abstract

This paper aims to solve an ill-posed cavities identification problem governed by Laplace equation with overdetermined boundary data. We introduce a Dirichlet-Neumann misfit function and we rephrase the inverse problem into a shape optimization one. The obtained problem is solved by a steepest descent algorithm using the gradient information combined with the level set method. The efficiency and accuracy of this approach is illustrated by numerical results.

Published
Nov 25, 2017
How to Cite
JAῒEM, Emna; KHALFALLAH, Sinda. An energy-gap cost functional for cavities identification. Nonlinear Studies, [S.l.], v. 24, n. 4, p. 745-756, nov. 2017. ISSN 2153-4373. Available at: <http://nonlinearstudies.com/index.php/nonlinear/article/view/1609>. Date accessed: 15 dec. 2017.