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

Autores

  • 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

Palavras-chave:

Iterative method, Biharmonic equation, Mixed boundary conditions, Crack problem

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.

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

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Publicado

2011-11-23

Edição

v. 31 n. 1 (2013)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

Como Citar

Quang A, D., & Xuan Thao, M. (2011). Iterative method for solving a problem with mixed boundary conditions for biharmonic equation arising in fracture mechanics. Boletim Da Sociedade Paranaense De Matemática, 31(1), 65-78. https://doi.org/10.5269/bspm.v31i1.11728
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