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

DOI10.1016/S0045-7825(02)00262-1zbMath1045.74050MaRDI QIDQ1858467

Liviu Marin, Daniel Lesnic

Publication date: 13 February 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

ill-conditioned linear algebraic systemsoptimal truncation number

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15)

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Uses Software

• Regularization tools
• UTV

Cites Work

• The linear boundary element solution of Laplace's equation with Dirichlet boundary conditions
• A new NDT: Evaluation of plastic strains in bulk from displacements on surfaces
• Limitations of the \(L\)-curve method in ill-posed problems
• Analytical study and numerical experiments for Laplace equation with overspecified boundary conditions
• APPLICATIONS OF THE GENERALIZED SINGULAR-VALUE DECOMPOSITION METHOD ON THE EIGENPROBLEM USING THE INCOMPLETE BOUNDARY ELEMENT FORMULATION
• Finite element solution of two-dimensional inverse elastic problems using spatial smoothing
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• An Inverse Problem in Elasticity With Partially Overprescribed Boundary Conditions, Part I: Theoretical Approach
• Non-convergence of the L-curve regularization parameter selection method
• Spatially regularized solution of inverse elasticity problems using the BEM
• Boundary element method for the Cauchy problem in linear elasticity.
• Solution to inverse heat conduction problems employing singular value decomposition and model-reduction
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