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October  2005, 1(4): 487-497. doi: 10.3934/jimo.2005.1.487

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

Mark S. Gockenbach 1, and  Akhtar A. Khan 2,

1. 

Department of Mathematical Sciences, Michigan Technological University, 1400 Townsend Drive, Houghton, MI 49931-1295, United States
2. 

Department of Mathematics, University of Wisconsin-Barron County, 1800 College Drive, Rice Lake, WI 54868, United States

Received  May 2004 Revised  December 2004 Published  October 2005

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.
Keywords: linear elasticity, variational inequality, finite element method., Lam?e coefficients, inverse problem.
Mathematics Subject Classification: 35R, 49M, 65.
Citation: Mark S. Gockenbach, Akhtar A. Khan. Identification of Lamé parameters in linear elasticity: a fixed point approach. Journal of Industrial & Management Optimization, 2005, 1 (4) : 487-497. doi: 10.3934/jimo.2005.1.487
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