Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D
Journal article, 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
Author
Larisa Beilina
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
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 85-132Subject Categories (SSIF 2011)
Mathematics
DOI
10.1515/JIIP.2010.003