A relaxation method of an alternating iterative algorithm for the Cauchy problem in linear isotropic elasticity

L Marin, Bjorn Johansson

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We propose two algorithms involving the relaxation of either the given Dirichlet data (boundary displacements) or the prescribed Neumann data (boundary tractions) on the over-specified boundary in the case of the alternating iterative algorithm of Kozlov et al. [16] applied to Cauchy problems in linear elasticity. A convergence proof of these relaxation methods is given, along with a stopping criterion. The numerical results obtained using these procedures, in conjunction with the boundary element method (BEM), show the numerical stability, convergence, consistency and computational efficiency of the proposed method. (C) 2010 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)3179-3196
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Volume199
Issue number49-52
DOIs
Publication statusPublished - 1 Jan 2010

Keywords

  • Inverse problem
  • Alternating iterative algorithm
  • Boundary element method (BEM)
  • Cauchy problem
  • Linear elasticity
  • Relaxation procedures

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