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Deflation Accelerated Parallel Preconditioned Conjugate Gradient Method in Finite Element Problems

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Fred J. Vermolen

    (Delft University of Technology, Department of Applied Mathematical Analysis)

  • Kees Vuik

    (Delft University of Technology, Department of Applied Mathematical Analysis)

  • Guus Segal

    (Delft University of Technology, Department of Applied Mathematical Analysis)

Abstract

Summary We describe the algorithm to implement a deflation acceleration in a preconditioned Conjugate Gradient method to solve the system of linear equations from a Finite Element discretization. We focus on a parallel implementation in this paper. Subsequently we describe the data-structure. This is followed by some numerical experiments. The experiments indicate that our method is scalable.

Suggested Citation

  • Fred J. Vermolen & Kees Vuik & Guus Segal, 2004. "Deflation Accelerated Parallel Preconditioned Conjugate Gradient Method in Finite Element Problems," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 825-833, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_81
    DOI: 10.1007/978-3-642-18775-9_81
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