Adaptive Finite Element Methods for the Identification of Elastic Constants

被引：0
|
作者：
Tao Feng
Mårten Gulliksson
Wenbin Liu
机构：
[1] Mid Sweden University,Department of Engineering, Physics and Mathematics
[2] University of Kent,Institute of Mathematics and Statistics
来源：
Journal of Scientific Computing | 2006年 / 26卷
关键词：
Parameter estimation; finite element approximation; adaptive finite element methods; least squares; Gauss–Newton;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the elastic constants of a material are recovered from measured displacements where the model is the equilibrium equations for the orthotropic case. The finite element method is used for the discretization of the state equation and the Gauss–Newton method is used to solve the nonlinear least squares problem attained from the parameter estimation problem. A posteriori error estimators are derived and used to improve the accuracy by an appropriate mesh refinement. A numerical experiment is presented to show the applicability of the approach.
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页码：217 / 235
页数：18
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