Identification of Lamé parameters in linear elasticity: a fixed point approach

Authors

Mark Gockenbach, Michigan Technological UniversityFollow
Akhtar A. Khan, University of Wisconsin - Barron County

Document Type

Article

Publication Date

2005

Abstract

A fixed point iterative scheme is used for the simultaneous recovery of Lamé parameters in linear elasticity. Auxiliary problems principle applied to an output least-squares based regularized minimization problem results in a strongly convergent iterative scheme. When the (coefficient-dependent) energy norm is used, the condition ensuring the strong convergence are much milder and avoid any possibility of over-regularization.

Publisher's Statement

Publisher's version of record: https://dx.doi.org/10.3934/jimo.2005.1.487

Publication Title

Journal of Industrial & Management Optimization

Recommended Citation

Gockenbach, M., & Khan, A. A. (2005). Identification of Lamé parameters in linear elasticity: a fixed point approach. Journal of Industrial & Management Optimization, 1(4), 487-497. http://doi.org/10.3934/jimo.2005.1.487
Retrieved from: https://digitalcommons.mtu.edu/math-fp/32