Stopping criteria for iterations in finite element methods
This paper is devoted to stopping criteria for iterative solution methods for linear finite element methods for nonsymmetric positive-definite problems. It is a generalization of \textit{M. Arioli}'s previous results [Numer. Math. 97, No. 1, 1--24 (2004; Zbl 1048.65029)]. The authors prove 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 and then use Krylov solvers as alternative ways of calculating or estimating this quantity. Some numerical experiments are presented to show the validity of the criteria.
scientific article; zbMATH DE number 2146843