Institute of Computational Mathematics and Mathematical Geophysics SB RAS

International Conference on Mathematical Methods in Geophysics «MMG-2008»

Akademgorodok, Novosibirsk, Russia, October 13-15, 2008

Abstracts

Inverse Problems of Geophysics

Global convergence in inverse problems

Klibanov M.V., Larisa Beilina

Department of Mathematics and Statistics,
The University of North Carolina at Charlotte USA (Charlotte),
University of Trondheim Norway

Globally convergent numerical methods for coefficient inverse problems are in their infant age. This is a very challenging goal due to the ill-posedness and nonlinearity of these problems. Because of these two, the phenomenon of multiple local minima of residual functionals is inherent to coefficient inverse problems. We will present our recent development on this topic including both theory and numerical results. Local minima are avoided because least squares residual functionals are not constructed.

Note. Abstracts are published in author's edition

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