07-311 Larisa Beilina, Michael V. Klibanov
A Globally Convergent Numerical Method for Some Coefficient Inverse Problems With Resulting Second Order Elliptic Equations (2748K, pdf) Dec 18, 07
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Abstract. A new globally convergent numerical method is developed for some multidimensional Coefficient Inverse Problems for hyperbolic and parabolic PDEs with applications in acoustics, electromagnetics and optical medical imaging. On each iterative step the Dirichlet boundary value problem for a second order elliptic equation is solved. The global convergence is rigorously proven and numerical experiments are presented.

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