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.
Two-stage numerical procedure
RECONSTRUCTION
globally convergent numerical method
SCATTERING
adaptive finite element method
Författare
Larisa Beilina
Chalmers, Matematiska vetenskaper, Matematik
Göteborgs universitet
M. V. Klibanov
The University of North Carolina System
Journal of Inverse and Ill-Posed Problems
0928-0219 (ISSN) 1569-3945 (eISSN)
Vol. 18 1 85-132Ämneskategorier (SSIF 2011)
Matematik
DOI
10.1515/JIIP.2010.003