科研之友
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摘要
We consider the inverse problem for the wave equation on a compact Riemannian manifold or on a bounded domain of R(n), and generalize the concept of domain of influence. We present an efficient minimization algorithm to compute the volume of a domain of influence using boundary measurements and time-reversed boundary measurements. Moreover, we show that if the manifold is simple, then the volumes of the domains of influence determine the manifold. For a continuous real valued function tau on the boundary of the manifold, the domain of influence is the set of those points on the manifold from which the travel time to some boundary point y is less than tau(y). [GRAPHICS] .
- 出版日期2011-8
