Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D
Artikel i vetenskaplig tidskrift, 2010

A globally convergent numerical method for a 3-Dimensional Coefficient Inverse Problem for a hyperbolic equation is presented. A new globally convergent theorem is proven. It is shown that this technique provides a good first guess for the Finite Element Adaptive method (adaptivity) method. This leads to a synthesis of both approaches. Numerical results are presented.

globally convergent numerical method

adaptive finite element method

SCATTERING

RECONSTRUCTION

Two-stage numerical procedure

Författare

Larisa Beilina

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

M. V. Klibanov

The University of North Carolina at Charlotte

Journal of Inverse and Ill-Posed Problems

0928-0219 (ISSN) 1569-3945 (eISSN)

Vol. 18 85-132

Ämneskategorier

Matematik

DOI

10.1515/JIIP.2010.003