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A FETI-DP Algorithm for Incompressible Stokes Equations with Continuous Pressures

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Book cover Domain Decomposition Methods in Science and Engineering XXI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 98))

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Abstract

A FETI-DP algorithms is proposed for solving the system of linear equations arising from the mixed finite element approximations of incompressible Stokes equations with continuous pressure discretizations. A preconditioned conjugate gradient method is used in the algorithm with either a lumped or a Dirichlet preconditioner, and scalable convergence rates are proved. Numerical experiments of solving a two-dimensional incompressible Stokes problem demonstrate the performance of the proposed algorithm.

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Acknowledgements

This work was supported in part by National Science Foundation Contract No. DMS-1115759.

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Authors and Affiliations

  1. Department of Mathematics, University of Kansas, 1460 Jayhawk Blvd, Lawrence, KS, 66045-7594, USA

    Xuemin Tu

  2. Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA

    Jing Li

Authors
  1. Xuemin Tu
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  2. Jing Li
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Corresponding author

Correspondence to Xuemin Tu .

Editor information

Editors and Affiliations

  1. INRIA, Rennes, France

    Jocelyne Erhel

  2. Section de Mathématiques, Université de Genève, Genève, Switzerland

    Martin J. Gander

  3. Laboratoire Analyse, Géometrie & Applications, Université Paris XIII, Villetaneuse, France

    Laurence Halpern

  4. INRIA, Rennes, France

    Géraldine Pichot

  5. Laboratoire LMNO, Université de Caen, Caen, France

    Taoufik Sassi

  6. New York University Courant Institute, New York, New York, USA

    Olof Widlund

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Tu, X., Li, J. (2014). A FETI-DP Algorithm for Incompressible Stokes Equations with Continuous Pressures. In: Erhel, J., Gander, M., Halpern, L., Pichot, G., Sassi, T., Widlund, O. (eds) Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering, vol 98. Springer, Cham. https://doi.org/10.1007/978-3-319-05789-7_12

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