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Fading regularization MFS algorithm for inverse boundary value problems in two-dimensional linear elasticity
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DOI：10.1016/j.ijsolstr.2015.09.022.png)
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摘要
En 中文
We investigate the numerical reconstruction of the missing displacements (Dirichlet data) and tractions (Neumann data) on an inaccessible part of the boundary in the case of two-dimensional linear isotropic elastic materials from the knowledge of over-prescribed noisy measurements taken on the remaining accessible boundary part. This inverse problem is solved using the fading regularization method, originally proposed by Cimetiere et al. (2000, 2001) for the Laplace equation, in conjunction with a meshless method, namely the method of fundamental solutions (MFS). The stabilisation of the numerical method proposed herein is achieved by stopping the iterative procedure according to Morozov's discrepancy principle (Morozov, 1966). (C) 2015 Elsevier Ltd. All rights reserved.
Keyword:
Linear elasticity
Inverse boundary value problem
Cauchy problem
Regularization
Method of fundamental solutions (MFS)
Iterative method
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3.8
论文数:
1.2W
被引数:
3.1W
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The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity线性弹性中柯西问题的最小误差方法二维均质各向同性线弹性力学的数值实现OAAI
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