Uniqueness, stability, and some numerical results for the inverse diffusion problem

Victor Isakov

doi:10.1117/12.284194

24 October 1997 Uniqueness, stability, and some numerical results for the inverse diffusion problem

Victor Isakov

Proceedings Volume 3162, Advanced Signal Processing: Algorithms, Architectures, and Implementations VII; (1997) https://doi.org/10.1117/12.284194
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

We review some recent results on identification of leading coefficients of a second order parabolic equation from single or all possible boundary measurements of its solutions. We describe numerical experiments for a linearized version of this inverse problem which potentially has important applications to nondestructive evaluation of physical bodies from measurements of their temperature fields.

Citation Download Citation

Victor Isakov "Uniqueness, stability, and some numerical results for the inverse diffusion problem", Proc. SPIE 3162, Advanced Signal Processing: Algorithms, Architectures, and Implementations VII, (24 October 1997); https://doi.org/10.1117/12.284194

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