Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition

Computer Methods in Applied Mechanics and Engineering

Volumn 191, Issue 29-30, 2002, Pages 3257-3270

  Marin, L ^a   Lesnic, D ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Boundary element method; Cauchy problem; Linear elasticity; Singular value decomposition

Indexed keywords

BOUNDARY ELEMENT METHOD; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS;

SINGULAR VALUE DECOMPOSITION (SVD);

ELASTICITY;

BOUNDARY ELEMENT METHOD;

EID: 0037053182     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(02)00262-1     Document Type: Article

References (34)

1. Electric-potential CT method based on BEM inverse analysis for measurement of three-dimensional cracks
2. Quantitative measurement of three-dimensional surface cracks by the electric-potential CT
3. Application of boundary element method for back analysis associated with tunneling problems
4. Back analysis of measured displacements of tunnels
5. A new approach to calculating initial ground stresses from displacement measurements
6. Some applications of boundary element method for evaluation of the deformation of tool and calculation of the residual stress distribution in product in the plastic working process
7. A new NDT: Evaluation of plastic strain in bulk from displacements on surfaces
8. Finite element analysis of some elasticity problems
9. Spatially regularized solution of inverse elasticity problems using the BEM
10. Finite element solution of two-dimensional elastic problems using spatial smoothing
11. A boundary element approach for determining the residual stress and contact pressure
12. Inverse problems related to the mechanics and fracture of solids and structures
13. Analytical study and numerical experiments for Laplace equation with overspecified boundary conditions
14. An inverse problem in elasticity with partially overspecified boundary conditions. I. Theoretical approach
15. An inverse problem in elasticity with partially overspecified boundary conditions. II. Numerical details
16. Boundary element method for the Cauchy problem in linear elasticity
17. Conjugate gradient-boundary element method for a Cauchy problem in the Lamé system
18. An inverse problem in estimating interfacial cracks in bimaterials by boundary element technique
19. Applications of the generalized singular-value decomposition method in the eigenproblem using the incomplete boundary element formulation
20. On the modified Tikhonov's regularization method for the Cauchy problem of the Laplace equation
21. Solution to inverse heat conduction problems employing singular value decomposition and model-reduction
22. Analysis of discrete and ill-posed problems by means of the L-curve
23. L-curve for the deconvolution problem
24. Limitations of the L-curve method in ill-posed problems
25. Nonconvergence of the L-curve regularization parameter selection method
26. The L-curve and its use in the numerical treatment of inverse problems
27. The linear boundary element solution of Laplace's equation with Dirichlet boundary conditions
28. A comparison of the semidiscontinuous element and multiple node with auxiliary boundary collocation approaches for the boundary element method