An effective algorithm for reconstructing boundary conditions in elastic solids

DOI10.1016/S0045-7825(00)00297-8zbMath0989.74027MaRDI QIDQ5938293

Emilio Turco

Publication date: 28 July 2002

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

zbMATH Keywords

inverse problemiterative methodconjugate gradient methodMonte Carlo simulationstress tensorboundary element discretizationgeneralized cross-validation criterionill-conditioned system of equationslinear elastic solidsoptimal solutionreconstruction of boundary conditions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Inverse problems in equilibrium solid mechanics (74G75)

Related Items (11)

A meshless method for the Cauchy problem in linear elastodynamics ⋮ Relaxation procedures for an iterative MFS algorithm for the stable reconstruction of elastic fields from Cauchy data in two-dimensional isotropic linear elasticity ⋮ A relaxation method of an alternating iterative algorithm for the Cauchy problem in linear isotropic elasticity ⋮ An integral equations method combined minimum norm solution for 3D elastostatics Cauchy problem ⋮ Boundary element methods for boundary condition inverse problems in elasticity using PCGM and CGM regularization ⋮ Non-iterative regularized MFS solution of inverse boundary value problems in linear elasticity: a numerical study ⋮ An invariant method of fundamental solutions for the Cauchy problem in two-dimensional isotropic linear elasticity ⋮ An inverse stress reconstruction algorithm for modelling excavation and thermo-mechanical effects of rock structures ⋮ On computing the forces from the noisy displacement data of an elastic body ⋮ A numerical study on the solution of the Cauchy problem in elasticity ⋮ A strategy to identify exciting forces acting on structures

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