Deflation Accelerated Parallel Preconditioned Conjugate Gradient Method in Finite Element Problems

Fred J. Vermolen (), Kees Vuik and Guus Segal
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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

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 825-833 from Springer

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.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_81

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DOI: 10.1007/978-3-642-18775-9_81

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