Optimized Interface Conditions in Domain Decomposition Methods . Application to Problems with Extreme Contrasts in the Coefficients

@inproceedings{Nataf2003OptimizedIC,
  title={Optimized Interface Conditions in Domain Decomposition Methods . Application to Problems with Extreme Contrasts in the Coefficients},
  author={Fr{\'e}d{\'e}ric Nataf},
  year={2003}
}
Interface conditions are crucial in domain decomposition methods and their design has been the subject of many works. We propose in this paper a novel approach where only one or two real parameters have to be chosen for the entire interface. The method relies on van der Sluis’ result on a quasi optimal diagonal preconditioner for a symmetric positive definite matrix, see [35]. It is then possible to design Robin interface conditions using only one real parameter for the entire interface. By… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 39 references

Domain decomposition in the Jacobi-Davidson method for eigenproblems

  • Menno Genseberger
  • PhD thesis,
  • 2001
Highly Influential
4 Excerpts

Interface connections in domain decomposition methods

  • F. Nataf.
  • 2001

Interface connections in domain decomposition methods. In Modern Methods in Scientific Computing and Applications, volume 75 of NATO Advanced Study Institute

  • F. Nataf
  • Universit de Montréal, in the NATO Science Ser…
  • 2001
1 Excerpt

Similar Papers

Loading similar papers…