TY - JOUR
T1 - A Two-Level Preconditioned Conjugate-Gradient Method in Distorted and Structured Grids
AU - He , Qiaolin
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 238
EP - 249
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.10-m11133
UR - https://global-sci.org/intro/article_detail/aamm/117.html
KW - Precondition, conjugate gradient, multigrid, finite element.
AB - <p style="text-align: justify;">In this paper, we propose a new two-level preconditioned C-G method
which uses the quadratic smoothing and the linear correction in distorted but topologically
structured grid. The CPU time of this method is less than that of the
multigrid preconditioned C-G method (MGCG) using the quadratic element, but
their accuracy is almost the same. Numerical experiments and eigenvalue analysis
are given and the results show that the proposed two-level preconditioned method
is efficient.</p>