Carleman-based recosntruction algorithm for the waves

Baudouin, Lucie; de Buhan, Maya; Ervedoza, Sylvain; Osses, Axel

Keywords: inverse problem, carleman estimates, Reconstruction algorithm, Hyperbolic equation

Abstract

We present a globally convergent numerical algorithm based on global Carleman estimates to reconstruct the speed of propagation of waves in a bounded domain with Dirichlet boundary conditions from a single measurement of the boundary flux of the solutions in a finite time interval.

Más información

Título de la Revista: SIAM JOURNAL ON NUMERICAL ANALYSIS
Editorial: SIAM PUBLICATIONS
Fecha de publicación: 2021
Idioma: English
URL: https://hal.archives-ouvertes.fr/hal-02458787
Notas: WOS Core collection ISI