The output least-squares approach to estimating Lamé moduli
Document Type
Article
Publication Date
10-8-2007
Abstract
The Lamé moduli of a heterogeneous, isotropic, planar membrane can be estimated by observing the displacement of the membrane under a known edge traction, and choosing estimates of the moduli that best predict the observed displacement under a finite-element simulation. This algorithm converges to the exact moduli given pointwise measurements of the displacement on an increasingly fine mesh. The error estimates that prove this convergence also show the instability of the inverse problem.
Publication Title
Inverse Problems
Recommended Citation
Gockenbach, M.
(2007).
The output least-squares approach to estimating Lamé moduli.
Inverse Problems,
23.
http://doi.org/10.1088/0266-5611/23/6/010
Retrieved from: https://digitalcommons.mtu.edu/math-fp/33
Publisher's Statement
© 2007 IOP Publishing Ltd. Publisher's version of record: https://doi.org/10.1088/0266-5611/23/6/010