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 ϕ in the semidiscrete scheme. Furthermore, numerical results of the full discrete scheme are presented.
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