摘要
给出抛物方程一种有效的区域分裂差分格式,提高了计算效率.对一阶项采用二阶迎风差分格式,内边界点和各子区域分别采用显隐差分格式.在较弱的稳定性条件下,得到离散l2模误差估计结果.最后给出具体的数值算例,以验证方法的实用性.
An efficient domain decomposition scheme for parabolic equations is discussed, which applies a modified upwind approximation to the first-order derivative. For parallel computation the scheme employs implicit procedures in subdomains and adopts explicit calculations with inter-domain boundaries. With a weaker stability constraint, error estimate in a discrete l^2 norm is presented. Theoretical analyses are validated by numerical experiments.
出处
《计算物理》
EI
CSCD
北大核心
2007年第2期239-246,共8页
Chinese Journal of Computational Physics
基金
Supported by the major State Basic Research of China(Grant No.1999032803)
the National Natural Science Foundation of China(Grant No.10372052,10271066)
the Doctorate Foundation of the Ministry of Education of China(Grand No.20030422047).
关键词
区域分裂
并行计算
修正迎风差分
误差估计
domain decomposition
parallel computation
modified upwind difference
error estimates
