Stopping criteria for iterations in finite element methods

Journal article

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.

Authors: Arioli, M; Loghin, D; Wathen, A

• Publication status: Published
• Journal: NUMERISCHE MATHEMATIK
• Volume: 99
• Issue: 3
• Pages: 381-410
• Publication date: 2005-01-01
• DOI: 10.1007/s00211-004-0568-z
• EISSN: 0945-3245
• ISSN: 0029-599X
• Language: English