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Physics of Particles and Nuclei Letters

, Volume 5, Issue 3, pp 227–230 | Cite as

Two variational approaches for domain decomposition problems solved by SGBEM with nonconforming discretizations

  • R. Vodička
  • V. Mantič
  • F. París
Article
  • 12 Downloads

Abstract

Two original approaches for the solution of elastic boundary value problems with domain decomposition (DDBVP) using the symmetric Galerkin boundary element method (SGBEM) are presented. Each approach is based on a variational principle, a difference between them consisting in the treatment of the coupling conditions which connect the solutions through an interface. The computer codes developed are able to deal with curved interfaces in a domain decomposition problem discretized by nonmatching meshes of linear elements along the interfaces. The effectiveness of the methods is documented by a numerically solved example.

PACS numbers

02.70.Dh 02.60.Lj 02.70.-c 

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References

  1. 1.
    M. Bonnet, Engineering Analysis with Boundary Elements 15, 93–102 (1995).CrossRefGoogle Scholar
  2. 2.
    A. Quarteroni and A. Valli, Domain Decomposition Methods for Partial Differential Equations (Oxford Univ., Oxford, 1999).MATHGoogle Scholar
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    A. G. Ugodchicoff and N. M. Khutoryanskiy, Boundary Element Method in Solid Mechanics (Kazan Univ., Kazan, 1986) [in Russian].Google Scholar
  4. 4.
    R. Vodička, V. Mantič, and F. París, “Numerical Methods in Continuum Mechanics,” in 4th Workshop on Trefftz Methods (CEACM, 2005).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  • R. Vodička
    • 1
  • V. Mantič
    • 2
  • F. París
    • 2
  1. 1.Civil Engineering FacultyTechnical University of KošiceKošiceSlovak Republic
  2. 2.School of EngineeringUniversity of SevilleSevilleSpain

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