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Regularized method of fundamental solutions for boundary identification in two-dimensional isotropic linear elasticity
- Source :
-
International Journal of Solids & Structures . Dec2010, Vol. 47 Issue 24, p3326-3340. 15p. - Publication Year :
- 2010
-
Abstract
- Abstract: We investigate the stable numerical reconstruction of an unknown portion of the boundary of a two-dimensional domain occupied by an isotropic linear elastic material from a prescribed boundary condition on this part of the boundary and additional displacement and traction measurements (i.e. Cauchy data) on the remaining known portion of the boundary. This inverse geometric problem is approached by combining the method of fundamental solutions (MFS) and the Tikhonov regularization method, whilst the optimal value of the regularization parameter is chosen according to the discrepancy principle. Various geometries are considered, i.e. convex and non-convex domains with a smooth or piecewise smooth boundary, in order to show the numerical stability, convergence, consistency and computational efficiency of the proposed method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207683
- Volume :
- 47
- Issue :
- 24
- Database :
- Academic Search Index
- Journal :
- International Journal of Solids & Structures
- Publication Type :
- Academic Journal
- Accession number :
- 53971191
- Full Text :
- https://doi.org/10.1016/j.ijsolstr.2010.08.010