Iterative method for solving a problem with mixed boundary conditions for biharmonic equation arising in fracture mechanics

  • Dang Quang A Vietnam Academy of Science and Technology Institute of Information Technology
  • Mai Xuan Thao Hong Duc University
DOI: https://doi.org/10.5269/bspm.v31i1.11728

Resumo

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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Biografia do Autor

Dang Quang A, Vietnam Academy of Science and Technology Institute of Information Technology
Head of Department of Mathematical methods in Information Technology,
Mai Xuan Thao, Hong Duc University

Head of Department of Natural Sciences

Thanh Hoa City

Publicado
2011-11-23
Edição
v. 31 n. 1 (2013)
Seção
Artigos

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