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Iterative method for solving a problem with mixed boundary conditions for biharmonic equation arising in fracture mechanicsKeywords: Iterative method , Biharmonic equation , Mixed boundary conditions , Crack problem. Abstract: 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.
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