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.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
