A second order splitting method for the Cahn-Hilliard equation

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

Research output: Contribution to journalArticle

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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 languageEnglish (US)
Pages (from-to)575-590
Number of pages16
JournalNumerische Mathematik
Volume54
Issue number5
DOIs
StatePublished - Sep 1 1989
Externally publishedYes

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Keywords

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

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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