Non-iterative regularized MFS solution of inverse boundary value problems in linear elasticity: A numerical study

Liviu Marin and Corina Cipu

Applied Mathematics and Computation, 2017, vol. 293, issue C, 265-286

Abstract: The numerical reconstruction of the missing Dirichlet and Neumann data on an inaccessible part of the boundary in the case of two- and three-dimensional linear isotropic elastic materials from the knowledge of over-prescribed noisy measurements taken on the remaining accessible boundary part is investigated. This inverse problem is solved using the method of fundamental solutions (MFS), whilst its stabilization is achieved through several singular value decomposition (SVD)-based regularization methods, such as the Tikhonov regularization method [48], the damped SVD and the truncated SVD [18]. The regularization parameter is selected according to the discrepancy principle [40], generalized cross-validation criterion [14] and Hansen’s L-curve method [20].

Keywords: Linear elasticity; Inverse boundary value problem; Method of fundamental solutions (MFS); Singular value decomposition (SVD); Regularization (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:293:y:2017:i:c:p:265-286

DOI: 10.1016/j.amc.2016.08.021

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