- 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.
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.