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.
globally convergent numerical method
adaptive finite element method
SCATTERING
RECONSTRUCTION
Two-stage numerical procedure
Author
Larisa Beilina
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
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 1 85-132Subject Categories (SSIF 2011)
Mathematics
DOI
10.1515/JIIP.2010.003