Parallel algorithm combined with mixed element procedure for compressible miscible displacement problem

被引：1

作者：

Zhang, Jiansong ^{[1
]}

Yang, Danping ^{[2
]}

Guo, Hui ^{[3
]}

Qu, Yan ^{[4
]}

机构：

[1] China Univ Petr, Dept Appl Math, Qingdao 266580, Peoples R China

[2] China Normal Univ, Dept Math, 3663 Zhongshan North Rd, Shanghai 200062, Peoples R China

[3] China Univ Petr, Dept Computat Math, Qingdao 266580, Peoples R China

[4] China Univ Petr, Coll Chem Engn, Qingdao 266580, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2017年 / 76卷 / 04期

关键词：

Parallel subspace correction; Mixed finite element; Splitting system; Compressible miscible displacement; DOMAIN DECOMPOSITION PROCEDURES; 2-PHASE INCOMPRESSIBLE-FLOW; FINITE-ELEMENT; ITERATIVE METHODS; APPROXIMATION;

D O I：

10.1007/s11075-017-0294-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on overlapping domain decomposition, we construct a parallel mixed finite element algorithm for solving the compressible miscible displacement problem in porous media. The algorithm is fully parallel. We consider the relation between the convergence rate and discretization parameters, including the overlapping degree of the subspaces. We give the corresponding error estimate, which tells us that only two iterations are needed to reach to given accuracy at each time level. Numerical results are presented to confirm our theoretical analysis.

引用

页码：993 / 1019

页数：27

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