A discontinuous-Galerkin-based immersed boundary method

@inproceedings{Lew2007ADI,
  title={A discontinuous-Galerkin-based immersed boundary method},
  author={Adrian J. Lew and Gustavo C. Buscaglia},
  year={2007}
}
A numerical method to approximate partial differential equations on meshes that do not conform to the domain boundaries is introduced. The proposed method is conceptually simple and free of userdefined parameters. Starting with a conforming finite element mesh, the key ingredient is to switch those elements intersected by the Dirichlet boundary to a discontinuous-Galerkin approximation and impose the Dirichlet boundary conditions strongly. By virtue of relaxing the continuity constraint at… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 75 references

Imposing Dirichlet boundary conditions in the extended finite element method

  • N. Moës, E. Béchet, M. Tourbier
  • Int. J. Numer. Meth. Eng.,
  • 2006
Highly Influential
5 Excerpts

Survey of meshless and generalized finite element methods: A unified approach

  • I. Babuška, U. Banerjee, J. Osborn
  • Acta Numerica,
  • 2003
Highly Influential
4 Excerpts

The finite element method with Lagrangian multipliers

  • I. Babuška
  • Numerische Mathematik,
  • 1973
Highly Influential
6 Excerpts

Flow patterns around heart valves: A numerical method

  • C. Peskin
  • J. Comput. Phys.,
  • 1972
Highly Influential
5 Excerpts

A bubble-stabilized finite element for Dirichlet constraints on embedded interfaces

  • H. Mourad, J. Dolbow, I. Harari
  • Int. J. Numer. Meth. Eng.,
  • 2007
1 Excerpt

Belytschko. A local space-time discontinuous finite element method

  • T. J. Chessa
  • Comput. Methods Appl. Mech. Engrg.,
  • 2006
1 Excerpt

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