Regularized MFS solution of inverse boundary value problems in three-dimensional steady-state linear thermoelasticity

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:91

Article

Marin, Liviu^1,2  Karageorghis, Andreas³  Lesnic, Daniel⁴ 

[1] Univ Bucharest, Fac Math & Comp Sci, Acad 14, Dept Math, Bucharest 010014, Romania

[2] Romanian Acad, Inst Solid Mech, 15 Constantin Mille, Bucharest 010141, Romania

[3] Univ Cyprus, Dept Math & Stat, POB 20537, CY-1678 Nicosia, Cyprus

[4] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England

关键词: Inverse boundary value problem;    Three-dimensional linear thermoelasticity;    Method of fundamental solutions (MFS);    Singular value decomposition (SVD);    Regularization;   

DOI  :  10.1016/j.ijsolstr.2016.03.013

来源: Elsevier

【 摘 要 】

We investigate the numerical reconstruction of the missing thermal and mechanical boundary conditions on an inaccessible part of the boundary in the case of three-dimensional linear isotropic thermoelastic materials from the knowledge of over-prescribed noisy data on the remaining accessible boundary. We employ the method of fundamental solutions (MFS) and several singular value decomposition (SVD)-based regularization methods, e.g. the Tikhonov regularization method (Tikhonov and Arsenin, 1986), the damped SVD and the truncated SVD (Hansen, 1998), whilst the regularization parameter is selected according to the discrepancy principle (Morozov, 1966),generalized cross-validation criterion (Golub et al., 1979) and Hansen's L-curve method (Hansen and O'Leary, 1993). (C) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

Free