Scientific article

Cross-Points in Domain Decomposition Methods with a Finite Element Discretization

Published inElectronic transactions on numerical analysis, vol. 45, p. 219-240
Publication date2016

Non-overlapping domain decomposition methods necessarily have to exchange Dirichlet and Neumann traces at interfaces in order to be able to converge to the underlying mono-domain solution. Well known such non-overlapping methods are the Dirichlet-Neumann method, the FETI and Neumann-Neumann methods, and optimized Schwarz methods. For all these methods, cross-points in the domain decomposition configuration where more than two subdomains meet do not pose any problem at the continuous level, but care must be taken when the methods are discretized. We show in this paper two possible approaches for the consistent discretization of Neumann conditions at cross-points in a Finite Element setting.

  • Domain decomposition
  • Cross-points
  • Finite element discretization
  • Auxiliary variables
  • Complete communication
Citation (ISO format)
GANDER, Martin Jakob, SANTUGINI-REPIQUET, Kevin. Cross-Points in Domain Decomposition Methods with a Finite Element Discretization. In: Electronic transactions on numerical analysis, 2016, vol. 45, p. 219–240.
Main files (1)
Article (Published version)
  • PID : unige:169588
ISSN of the journal1068-9613

Technical informations

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