A Multigrid Method for Nonconforming FE-Discretisations with Application to Non-Matching Grids

@article{Braess1999AMM,
  title={A Multigrid Method for Nonconforming FE-Discretisations with Application to Non-Matching Grids},
  author={Dietrich Braess and Maksimillian Dryja and Wolfgang Hackbusch},
  journal={Computing},
  year={1999},
  volume={63},
  pages={1-25}
}
Nonconforming finite element discretisations require special care in the construction of the prolongation and restriction in the multigrid process. In this paper, a general scheme is proposed, which guarantees the approximation property. As an example, the technique is applied to the discretisation by non-matching grids (mortar elements). 
Highly Cited
This paper has 35 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 22 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 13 references

The Cascade iteration for nonconforming discretisations

  • R. Stevenson
  • Report 9803 University of Nijmegen,
  • 1998
1 Excerpt

A new nonconforming approach to domain decomposition: the mortar element method. In: Nonlinear partial differential equations and their applications (Brezis

  • C. Bernardi, Y. Maday, A. T. Patera
  • 1994
3 Excerpts

Elliptic differentialequations. Theory and numerical treatment. Berlin Heidelberg New York Tokyo: Springer 1992. A Multigrid Method for Nonconforming FE-Discretisations and Non-Matching Grids

  • W. Hackbusch
  • 1992

Multi-grid methods for nonconforming finite element methods

  • D. Braess, R. Verfürth
  • SIAM J. Numer. Anal. 27,
  • 1990
3 Excerpts

Multi-grid methods and applications

  • W. Hackbusch
  • Berlin Heidelberg New York: Springer
  • 1985
1 Excerpt

Similar Papers

Loading similar papers…