English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper introduces a discretization-accurate stopping criterion ofsymmetric iterative methods for solving systems of algebraic equationsresulting from the finite element approximation. The stopping criterionconsists of the evaluations of the discretization and the algebraic errorestimators, that are based on the respective duality error estimator and thedifference of two consecutive iterates. Iterations are terminated when thealgebraic estimator is of the same magnitude as the discretization estimator.Numerical results for multigrid $V(1,1)$-cycle and symmetric Gauss-Seideliterative methods are presented for the linear finite element approximation tothe Poisson equations. A large reduction in computational cost is observedcompared to the standard residual-based stopping criterion.

A Discretization-Accurate Stopping Criterion for Iterative Solvers for Finite Element Approximation