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

Abstract

A fixed point iterative scheme is used for the simultaneous recovery ofLame parameters in linear elasticity. Auxiliary problems principleapplied to an output least-squares based regularized minimizationproblem results in a strongly convergent iterative scheme. When the(coefficient-dependent) energy norm is used, the condition ensuring thestrong convergence are much milder and avoid any possibility ofover-regularization.