Two-level methods for the Cahn–Hilliard equation

Qingfang Liu, Yanren Hou, Zhiheng Wang and Jiakun Zhao

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 126, issue C, 89-103

Abstract: We propose the fully discrete traditional finite element and mixed finite element two-level schemes for solving the Cahn–Hilliard equation in the paper. We give the stability and convergence of the traditional finite element and mixed finite element two-level methods. The analysis shows that the two-level methods can get the same convergence as the one-level methods provided that we choose proper coarse and fine mesh sizes. However, the two-level methods can save much computational time compared with the one-level methods. Finally, some numerical experiments are provided to confirm the theoretical analysis.

Keywords: Finite element method; Two-level method; Cahn–Hilliard equation; Stability and convergence (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:126:y:2016:i:c:p:89-103

DOI: 10.1016/j.matcom.2016.03.004

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