摘要
对于应用区域分解方法求解二维热传导方程的问题,提出一种绝对稳定的显-隐差分格式。该算法在内边界点上采用显格式计算,在子区域内部采用全隐格式;之后给出了算法的稳定性和收敛性分析,并用数值结果验证了相关结论。
Considering algorithms of finite difference domain decomposition for a two-dimensional heat equation,a new kind of explicit-implicit difference scheme which is of unconditional stability is developed.The corresponding schemes consist of one explicit difference scheme at the interface point and fully implicit schemes in the sub-domains.The stability and error estimates of the schemes are derived.Finally,a numerical experiment is presented which confirm the results and conclusions.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2011年第12期1-5,12,共6页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(10671113)
关键词
二维热传导方程
区域分解算法
有限差分
并行计算
two-dimensional heat equation
domain decomposition algorithm
finite difference
parallel computation
