A second order splitting method for the Cahn-Hilliard equation Article DOI:
Cite this article as: Elliott, C.M., French, D.A. & Milner, F.A. Numer. Math. (1989) 54: 575. doi:10.1007/BF01396363 Summary
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
Research partially supported by NSF Grant DMS-8896141
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