An efficient two grid method for miscible displacement problem approximated by mixed finite element methods. (1st February 2019)

• Record Type: Journal Article
• Authors: Liu, Shang; Chen, Yanping; Huang, Yunqing; Zhou, Jie
• Is Part Of: Computers & mathematics with applications. Volume 77:issue 3(2019)
• Page Start: 752
• Page End: 764
• Publication Date: 2019-02-01
• Subjects: Two grid method -- Miscible displacement -- Mixed finite element; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2018.10.013
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In the paper, we present an efficient two grid method for the miscible displacement problem which discretized by mixed finite element methods for the pressure equation and concentration equation at the same time, and then analyzed the error estimate of the two-gird algorithm. At last, the numerical experiment presented confirmed the theoretical results. Compared with the standard mixed finite element methods, this two-grid scheme based on the mixed methods can keep the same convergence order and cost much less work.