Volume 10, Issue 4
Error Estimates of the Classical and Improved Two-Grid Methods

Weifeng Zhang ,  Jinchao Xu and Liuqiang Zhong


Adv. Appl. Math. Mech., 10 (2018), pp. 785-796.

Preview Full PDF BiBTex 17 788
  • 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 L2error 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.

  • History

Published online: 2018-06

  • Keywords

  • AMS Subject Headings

  • Cited by