Non-iterative regularized MFS solution of inverse boundary value problems in linear elasticity: A numerical study
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- 作者：Liviu Marin ; a ; b ; marin.liviu@gmail.com" class="auth_mail" title="E-mail the corresponding author ; liviu.marin@fmi.unibuc.ro" class="auth_mail" title="E-mail the corresponding author ; Corina Cipub ; c ; corinac71@yahoo.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Linear elasticity ; Inverse boundary value problem ; Method of fundamental solutions (MFS) ; Singular value decomposition (SVD) ; Regularization
- 刊名：Applied Mathematics and Computation
- 出版年：2017
- 出版时间：15 January 2017
- 年：2017
- 卷：293
- 期：Complete
- 页码：265-286
- 全文大小：2226 K
文摘
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Numerical reconstruction of the missing boundary data in 2D and 3D linear elasticity.
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Noisy over-prescribed data are available on the remaining accessible boundary.
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The inverse problem is solved by a meshless method, i.e. the method of fundamental solutions (MFS).
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Stabilization is achieved via several SVD-based regularization methods.
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The regularization parameter is selected via the criteria used for inverse problems.