A semi-discrete finite element method requiring only continuous element is presented for the approximation of the solution of the evolutionary, fourth order in space, Cahn-Hilliard equation. Optimal order error bounds are derived in various norms for an implementation which uses mass lumping. The continuous problem has an energy based Lyapunov functional. It is proved that this property holds for the discrete problem.
- Subject Classifications: AMS(MOS): 65N30, CR: G1.8
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics