09-46 Larisa Beilina and Michael V. Klibanov

Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D (5025K, pdf) Mar 5, 09

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Abstract. A globally convergent numerical method for a three dimensional Coefficient Inverse Problem is presented. Since this method does not use least squares objective functionals, the phenomenon of local minima is avoided. The global convergence is analytically established. It is shown that this technique provides a good first guess for the adaptivity method, which enables to synthesize both approaches. Numerical results for the 3-D case are presented.

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