Title

The output least-squares approach to estimating Lamé moduli

Authors

Mark Gockenbach, Michigan Technological UniversityFollow

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.

Publisher's Statement

© 2007 IOP Publishing Ltd. Publisher's version of record: https://doi.org/10.1088/0266-5611/23/6/010

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