An alternating iterative algorithm for the Cauchy problem in anisotropic elasticity
نویسندگان
چکیده
The alternating iterative algorithm proposed by Kozlov et al. [An iterative method for solving the Cauchy problem for elliptic equations. USSR Comput Math Math Phys 1991;31:45–52] for obtaining approximate solutions to the Cauchy problem in twodimensional anisotropic elasticity is analysed and numerically implemented using the boundary element method (BEM). The illposedness of this inverse boundary value problem is overcome by employing an efficient regularising stopping. The numerical results confirm that the iterative BEM produces a convergent and stable numerical solution with respect to increasing the number of boundary elements and decreasing the amount of noise added into the input data. r 2007 Elsevier Ltd. All rights reserved.
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