TY - JOUR
T1 - Error estimates of the classical and improved two-gridmethods
AU - Zhang, Weifeng
AU - Xu, Jinchao
AU - Zhong, Liuqiang
N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
AB - 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.
UR - http://global-sci.org/intro/article_detail/aamm/12495.html
UR - http://www.scopus.com/inward/record.url?scp=85069495964&partnerID=8YFLogxK
U2 - 10.4208/aamm.OA-2017-0212
DO - 10.4208/aamm.OA-2017-0212
M3 - Article
SN - 2075-1354
VL - 10
SP - 785
EP - 796
JO - Advances in Applied Mathematics and Mechanics
JF - Advances in Applied Mathematics and Mechanics
IS - 4
ER -