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Pré-Publication, Document De Travail Année : 2016

An Optimal Schwarz Preconditioner for a Class of Parallel Adaptive Finite Elements

Résumé

A Schwarz-type preconditioner is formulated for a class of parallel adaptive finite elements where the local meshes cover the whole domain. With this preconditioner, the convergence rate of Krylov methods is shown to depend only on the ratio of the second largest and smallest eigenvalues of the preconditioned system. These eigenvalues can be bounded independently of the mesh sizes and the number of subdomains, which proves the proposed preconditioner is optimal. Numerical results are provided to support the theoretical findings.
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Dates et versions

hal-01337957 , version 1 (27-06-2016)

Identifiants

  • HAL Id : hal-01337957 , version 1

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Sébastien Loisel, Hieu Nguyen. An Optimal Schwarz Preconditioner for a Class of Parallel Adaptive Finite Elements. 2016. ⟨hal-01337957⟩

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