%0 Journal Article
%T Iterative method for solving a problem with mixed boundary conditions for biharmonic equation arising in fracture mechanics
%A Dang Quang A
%A Mai Xuan Thao
%J Boletim da Sociedade Paranaense de Matem¨¢tica
%D 2013
%I Sociedade Brasileira de Matem¨¢tica
%X 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.
%K Iterative method
%K Biharmonic equation
%K Mixed boundary conditions
%K Crack problem.
%U http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/11728