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A second order splitting method for the Cahn-Hilliard equation (1989)

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

Springer

Numerische Mathematik 54 (1989), S. 575-590

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Details

ISSN: 0945-3245

Schlagwort(e): AMS(MOS): 65N30 ; CR: G1.8

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01396363

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