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A FETI-DP Algorithm for Saddle Point Problems in Three Dimensions

  • Xuemin TuEmail author
  • Jing Li
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 104)

Abstract

A FETI-DP algorithm is proposed for solving the system of linear equations arising from the mixed finite element approximations of a three dimensional saddle problem. A preconditioned conjugate gradient method is used in the algorithm with either a lumped or a Dirichlet preconditioner, and scalable convergence rates are proved without a divergence free condition for the coarse space. Numerical experiments of solving a three-dimensional incompressible Stokes problem demonstrate the performance of the proposed algorithm.

Keywords

Mixed Finite Element Saddle Point Problem Finite Element Space Coarse Space Preconditioned Conjugate Gradient Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This work was supported in part by National Science Foundation Contracts No. DMS-1115759 and DMS-1419069.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of KansasLawrenceUSA
  2. 2.Department of Mathematical SciencesKent State UniversityOhioUSA

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