Title of article :
The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity
Author/Authors :
Marin، نويسنده , , Liviu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Pages :
18
From page :
957
To page :
974
Abstract :
In this paper, yet another iterative procedure, namely the minimal error method (MEM), for solving stably the Cauchy problem in linear elasticity is introduced and investigated. Furthermore, this method is compared with another two iterative algorithms, i.e. the conjugate gradient (CGM) and Landweber–Fridman methods (LFM), previously proposed by Marin et al. [Marin, L., Háo, D.N., Lesnic, D., 2002b. Conjugate gradient-boundary element method for the Cauchy problem in elasticity. Quarterly Journal of Mechanics and Applied Mathematics 55, 227–247] and Marin and Lesnic [Marin, L., Lesnic, D., 2005. Boundary element-Landweber method for the Cauchy problem in linear elasticity. IMA Journal of Applied Mathematics 18, 817–825], respectively, in the case of two-dimensional homogeneous isotropic linear elasticity. The inverse problem analysed in this paper is regularized by providing an efficient stopping criterion that ceases the iterative process in order to retrieve stable numerical solutions. The numerical implementation of the aforementioned iterative algorithms is realized by employing the boundary element method (BEM) for two-dimensional homogeneous isotropic linear elastic materials.
Keywords :
Iterative algorithms , Cauchy problem , Inverse problem , Linear Elasticity , regularization , boundary element method (BEM)
Journal title :
International Journal of Solids and Structures
Serial Year :
2009
Journal title :
International Journal of Solids and Structures
Record number :
1386999
Link To Document :
بازگشت