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A posteriori error estimation in computational inverse scattering
2005 (English)In: Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, Vol. 15, no 1, 23-35 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2005. Vol. 15, no 1, 23-35 p.
Keyword [en]
time-dependent inverse scattering, adaptive finite element methods, a posteriori error estimation
URN: urn:nbn:se:kth:diva-14510ISI: 000226819000002OAI: diva2:332551
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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Johnson, Claes
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