Highly Scalable Parallel Domain Decomposition Methods Wit H an Application to Biomechanics [preprint]

@inproceedings{Rheinbach2014HighlySP,
  title={Highly Scalable Parallel Domain Decomposition Methods Wit H an Application to Biomechanics [preprint]},
  author={Oliver Rheinbach},
  year={2014}
}
Highly scalable parallel domain decomposition methods for elliptic partial differential equations are considered wi th a special emphasis on problems arising in elasticity. The focus of thi s survey article is on Finite Element Tearing and Interconne cti g (FETI) methods, a family of nonoverlapping domain decomposition methods wh ere the continuity between the subdomains, in principle, is enforced by the use of Lagrange multipliers. Exact onelevel and dual-prima l FETI methods as well as… CONTINUE READING
31 Citations
53 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 31 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 53 references

ParMe tis - parallel graph partitioning and sparse matrix orderin g, version 3.1

  • George Karypis, Kirk Schloegel, Vipin Kumar
  • Technical report, University of Minnesota…
  • 2003
Highly Influential
5 Excerpts

pectral element FETI-DP and BDDC preconditioners with mult i-element subdomains.Comput

  • Axel Klawonn, Luca F. Pavarino, S OliverRheinbach.
  • Meth. Appl. Mech. Engrg
  • 2008
Highly Influential
4 Excerpts

Int ravascular ultrasound for the evaluation of therapies targ e in coronary atherosclerosis

  • Dirk Böse, Clemens von Birgelen, Raimund Erbel
  • Journal of the American College of Cardiology
  • 2007
Highly Influential
5 Excerpts

Widlund.Domain Decomposition Methods - Algorithms and Theory , volume 34 ofSpringer Series in Computational Mathematics

  • Andrea Toselli, B Olof
  • 2005
Highly Influential
4 Excerpts

FETI and Neumann-Neum ann iterative substructuring methods:connections and new results

  • Axel Klawonn, Olof B. Widlund
  • Communications on Pure and Applied Mathematics ,
  • 2001
Highly Influential
14 Excerpts

FETI-DP: A dual-primal uni fied FETI method part i: A faster alternative to the two-level FETI method

  • Charbel Farhat, Michel Lesoinne, Patrick LeTallec, Ke ndall Pierson, Daniel Rixen
  • Internat. J. Numer. Methods Engrg
  • 2001
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…