A second order splitting method for the Cahn-Hilliard equation

C. M. Elliott; D. A. French; F. A. Milner

doi:10.1007/BF01396363

A second order splitting method for the Cahn-Hilliard equation

C. M. Elliott, D. A. French, F. A. Milner

Research output: Contribution to journal › Article › peer-review

219 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	575-590
Number of pages	16
Journal	Numerische Mathematik
Volume	54
Issue number	5
DOIs	https://doi.org/10.1007/BF01396363
State	Published - Sep 1 1989
Externally published	Yes

Keywords

Subject Classifications: AMS(MOS): 65N30, CR: G1.8

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/BF01396363

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A second order splitting method for the Cahn-Hilliard equation

Abstract

Keywords

ASJC Scopus subject areas

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