09-135 Larisa Beilina and Michael V. Klibanov
A globally convergent numerical method and the adaptivity technique for a hyperbolic coefficient inverse problem. Part I: analytical study. (363K, pdf) Aug 6, 09
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Abstract. A globally convergent numerical method for a multidimensional Coefficient Inverse Problem for a hyperbolic equation is presented. It is shown that this technique provides a good starting point for the so-called finite element adaptive method (adaptivity). This leads to a natural two-stage numerical procedure, which synthesizes both these methods. A new method for obtaining a posteriori error estimates for the adaptivity tecxhnique is demonstrated on a specific example of a hyperbolic Coefficient Inverse Problem.

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