| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8053240 | Applied Mathematics Letters | 2019 | 8 Pages |
Abstract
The paper is concerned with the construction and convergence analysis of the simplest C0 virtual element method for the Cahn-Hilliard problem in mixed form. This virtual element method leads to a low requirement on regularity and a treatment of general polygonal elements, including non-convex and degenerate elements. Moreover, by introducing two elliptic operators, we prove the L2-error estimate for concentration Ï in the semidiscrete scheme. Furthermore, numerical results of the full discrete scheme are presented.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Xin Liu, Zhangxin Chen,