Year: 2009
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 17–32
Abstract
In this paper, the Lamé coefficients in the linear elasticity problem are estimated by using the measurements of displacement. Some a posteriori error estimators for the approximation error of the parameters are derived, and then adaptive finite element schemes are developed for the discretization of the parameter estimation problem, based on the error estimators. The Gauss-Newton method is employed to solve the discretized nonlinear least-squares problem. Some numerical results are presented.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-754
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 17–32
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Parameter estimation finite element approximation adaptive finite element methods a posteriori error estimates linear elasticity.