Iterative method for solving a problem with mixed boundary conditions for biharmonic equation arising in fracture mechanics
Résumé
In this paper we consider a mixed boundary value problem for biharmonic equation of the Airy stress function which models a crack problem of a solid elastic plate. An iterative method for reducing the problem to a sequence of mixed problems for Poisson equations is proposed and investigated. The convergence of the method is established theoretically and illustrated on many numerical experiments.Téléchargements
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Publiée
2011-11-23
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