  The paper presents a globally convergent algorithm for solving coefficient
inverse problems. Being rooted in the globally convergent numerical method
(SIAM J. Sci. Comput., 31, No.1 (2008), pp. 478-509) for solving
multidimensional coefficient inverse problems, it has two distinctive features:
the new iterative and refinement procedures. These novelties enhance, sometimes
significantly, both the spatial and contrast resolutions. The computational
effectiveness of the proposed technique is demonstrated in numerical
experiments with two applied coefficient inverse problems: electromagnetic or
acoustic frequency sounding and electrical prospecting of layered media. The
Slichter-Langer-Tikhonov formulation is exploited as a mathematical model of
the latter.
