TY  - EJOU
AU  - Marin, Liviu 

TI  - Reconstruction of Boundary Data in Two-Dimensional Isotropic Linear Elasticity from Cauchy Data Using an Iterative MFS Algorithm
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2010
VL  - 60
IS  - 3
SN  - 1526-1506

AB  - We investigate the implementation of the method of fundamental solutions (MFS), in an iterative manner, for the algorithm of Kozlov, Maz'ya and Fomin (1991) in the case of the Cauchy problem in two-dimensional isotropic linear elasticity. At every iteration, two mixed well-posed and direct problems are solved using the Tikhonov regularization method, while the optimal value of the regularization parameter is chosen according to the generalized cross-validation (GCV) criterion. An efficient regularizing stopping criterion is also presented. The iterative MFS algorithm is tested for Cauchy problems for isotropic linear elastic materials to confirm the numerical convergence, stability and accuracy of the method.
KW  - Inverse Problem
KW  -  Cauchy Problem
KW  -  Isotropic Linear Elasticity
KW  -  Iterative Method of Fundamental Solutions (MFS)
KW  -  Regularization

DO  - 10.3970/cmes.2010.060.221