TY - JOUR
T1 - The Optimal Preconditioning in the Domain Decomposition Method for Wilson Element
JO - Journal of Computational Mathematics
VL - 3
SP - 193
EP - 202
PY - 1997
DA - 1997/06
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9199.html
KW - 
AB - <p style="text-align: justify;">This paper discusses the optimal preconditioning in the domain decomposition method for Wilson element. The process of the preconditioning is composed of the resolution of a small scale global problem based on a coarser grid and a number of independent local subproblems, which can be chosen arbitrarily. The condition number of the preconditioned system is estimated by some characteristic numbers related to global and local subproblems. With a proper selection, the optimal preconditioner can be obtained, while the condition number is independent of the scale of the problem and the number of subproblems.</p>