首页 | 本学科首页   官方微博 | 高级检索  
     


A conservative parallel difference method for 2-dimension diffusion equation
Affiliation:1. The Graduate School of China Academy of Engineering Physics, P.O. Box 2101, Beijing, 100088, China;2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, China
Abstract:In this paper, a conservative parallel difference scheme, which is based on domain decomposition method, for 2-dimension diffusion equation is proposed. In the construction of this scheme, we use the numerical solution on the previous time step to give a weighted approximation of the numerical flux. Then the sub-problems with Neumann boundary are computed by fully implicit scheme. What is more, only local message communication is needed in the program. We use the method of discrete functional analysis to give the proof of the unconditional stability and second-order convergence accuracy. Some numerical tests are given to verify the theory results.
Keywords:Parallel difference  Diffusion equation  Conservative  Domain decomposition
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号