标题：Domain decomposition modified with characteristic mixed finite element of compressible oil-water seepage displacement and its numerical analysis
作者：Yuan Yirang; Chang Luo; Li Changfeng; Sun Tongjun
作者机构：[Yuan Yirang; Chang Luo; Li Changfeng; Sun Tongjun] Shandong Univ, Inst Math, Jinan 250100, Shandong, Peoples R China.; [Li Changfeng] Shandong Univ 更多
通讯作者：Yuan, YR;Yirang, Yuan
通讯作者地址：[Yuan, YR]Shandong Univ, Inst Math, Jinan 250100, Shandong, Peoples R China.
关键词：Compressible oil-water seepage displacement; Domain decomposition; parallel computation; Characteristic mixed finite element; Optimal error; estimate in l(2) norm; Numerical example
摘要：A parallel algorithm, structured by domain decomposition and characteristic mixed finite element, is presented for solving three-dimensional displacement problem of compressible seepage flow. Decomposing the computational domain into several subdomains, we define a characteristic function to approximate the value on interior boundary at previous time level and obtain numerical solutions implicitly in subdomains in parallel. The flow equation is treated by the method of mixed finite element and the saturation equation is approximated by the method of characteristic finite element. For a model problem we apply variation form, domain decomposition, the method of characteristics, the principle of energy, negative norm estimates, induction hypothesis, the theory and technique of priori estimates of differential equations to derive optimal error estimate in l(2) norm. Numerical data are consistent with theoretical analysis and show that this method is effective in solving actual applications. Then it can solve the well-known problem. (C) 2018 Published by Elsevier B.V.