Non-iterative regularized MFS solution of inverse boundary value problems in linear elasticity: A numerical study
作者：
Highlights：
• Numerical reconstruction of the missing boundary data in 2D and 3D linear elasticity.
• Noisy over-prescribed data are available on the remaining accessible boundary.
• The inverse problem is solved by a meshless method, i.e. the method of fundamental solutions (MFS).
• Stabilization is achieved via several SVD-based regularization methods.
• The regularization parameter is selected via the criteria used for inverse problems.
摘要
•Numerical reconstruction of the missing boundary data in 2D and 3D linear elasticity.•Noisy over-prescribed data are available on the remaining accessible boundary.•The inverse problem is solved by a meshless method, i.e. the method of fundamental solutions (MFS).•Stabilization is achieved via several SVD-based regularization methods.•The regularization parameter is selected via the criteria used for inverse problems.
论文关键词：Linear elasticity,Inverse boundary value problem,Method of fundamental solutions (MFS),Singular value decomposition (SVD),Regularization
论文评审过程：Received 29 April 2015, Revised 25 April 2016, Accepted 15 August 2016, Available online 1 September 2016, Version of Record 1 September 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.08.021
