Stopping criteria for iterations in finite element methods

Stopping criteria for iterations in finite element methods

This work extends the results of Arioli [1], [2] on stopping criteria for iterative solution methods for linear finite element problems to the case of nonsymmetric positive-definite problems. We show that the residual measured in the norm induced by the symmetric part of the inverse of the system ma...

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Κύριοι συγγραφείς: Arioli, M, Loghin, D, Wathen, A
Μορφή: Journal article
Γλώσσα:English
Έκδοση: 2005
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Περίληψη:This work extends the results of Arioli [1], [2] on stopping criteria for iterative solution methods for linear finite element problems to the case of nonsymmetric positive-definite problems. We show that the residual measured in the norm induced by the symmetric part of the inverse of the system matrix is relevant to convergence in a finite element context. We then use Krylov solvers to provide alternative ways of calculating or estimating this quantity and present numerical experiments which validate our criteria. © Springer-Verlag 2004.

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