论文信息 - A POSTERIORI ERROR ESTIMATION IN COMPUTATIONAL INVERSE SCATTERING

A POSTERIORI ERROR ESTIMATION IN COMPUTATIONAL INVERSE SCATTERING

We prove an a posteriori error estimate for an inverse acoustic scattering problem, where the objective is to reconstruct an unknown wave speed coefficient inside a body from measured wave reflection data in time on parts of the surface of the body. The inverse problem is formulated as a problem of finding a zero of a Jacobian of a Lagrangian. The a posterori error estimate couples residuals of the computed solution to weights the reconstruction reflecting the sensitivity of the reconstruction obtained by solving an associated linaerized problem for the Hessian of the Lagrangian. We show concrete examples of reconstrution including a posteriori error estimation.

Larisa Beilina | Claes Johnson | L. Beilina | Claes Johnson

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