Finite elements method for solving a cloaked problem

Maher Belgacem (1, 2) , Kouroch Mahdjoubi (1) , A. Boukricha (2)

1 IETR - Institut d'Électronique et des Technologies du numéRique
2 Département de mathématiques [Tunis]

The main objective of this paper is to design a novel finite element discretization for simulating two-dimensional acoustic cloaking devices. A simple numerical experiment can illustrate that a direct application of Lagrange finite elements to study cloaking devices can lead to inaccurate solutions.

Domaines: Modélisation et simulation

Maher Belgacem, Kouroch Mahdjoubi, A. Boukricha. Finite elements method for solving a cloaked problem. NonLinear PDE and Applications theoretical and Numerical study, May 2014, Tanger, Morocco. pp.41. ⟨hal-00994653⟩