Article ID Journal Published Year Pages File Type
6417562 Journal of Mathematical Analysis and Applications 2016 12 Pages PDF
Abstract

We consider the inverse problem of finding unknown elastic parameters from internal measurements of displacement fields for tissues. In the sequel to [5], we use pseudodifferential methods for the problem of recovering the shear modulus for Stokes systems from internal data. We prove stability estimates in d=2,3 with reduced regularity on the estimates and show that the presence of a finite dimensional kernel can be removed. This implies the convergence of the Landweber numerical iteration scheme. We also show that these hypotheses are natural for experimental use in constructing shear modulus distributions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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