Error estimates of the classical and improved two-gridmethods

Weifeng Zhang, Jinchao Xu, Liuqiang Zhong

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, we obtain the first error estimate in L2-norm for the classical two-grid method, then design an improved two-grid method by adding one more correction on the coarse space to the classical two-gird method. Furthermore, we also present the error estimates in both L2-norm and H1-norm for the improved two-grid method. Especially, the L2 error estimate of the improved two-grid method is one order higher than that of the classical two-grid. At last, we confirm and illustrate the theoretical result by some numerical experiments.

Original languageEnglish (US)
Pages (from-to)785-796
Number of pages12
JournalAdvances in Applied Mathematics and Mechanics
Volume10
Issue number4
DOIs
StatePublished - Jan 1 2018

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Applied Mathematics

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