摘要
考虑对流扩散方程的区域分解并行算法.对两子域和多子域两两重叠的情形,分别给出了沿特征线修正的迭代格式;并给出了误差估计,证明了只要每一时间层迭代一次以上,就能保证近似解收敛.最后给出的数值算例,计算结果与理论分析一致.
おonsider domain decomposition parallel algorithms for convection diffusion equations.For the case of twosubdomain and a kind of more than two subdomains we give some kinds of iteration algorithms with difference along characteristic,we also give the error estimates and convergence analyses.Finally we give a numerical example which support the theoritical results.
出处
《山东大学学报(自然科学版)》
CSCD
1998年第2期121-127,共7页
Journal of Shandong University(Natural Science Edition)
基金
国家自然科学基金
山东省自然科学基金
关键词
区域分解
偏微分方程
对流扩散方程
并行算法
convectiondiffusion
characteristic difference
domain decompotion
convergence