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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: Arioli, M, Loghin, D, Wathen, A
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: 2005
Cur síos
Achoimre: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.

Míreanna comhchosúla