A MIXED FINITE-ELEMENT METHOD FOR THE CAHN-HILLIARD AND THE SIVASHINSKY EQUATIONS

被引：0
|
作者：
MILNER, FA
机构：
[1] PURDUE UNIV,DEPT MATH,W LAFAYETTE,IN 47907
[2] UNIV ROME,DIPARTIMENTO MATEMAT,I-00133 ROME,ITALY
来源：
MATEMATICA APLICADA E COMPUTACIONAL | 1990年 / 9卷 / 01期
关键词：
CAHN-HILLIARD EQUATION; PHASE SEPARATIONS; MIXED METHODS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mixed finite element method requiring only continuous finite elements is presented for the approximation of the solution of the fourth order Cahn-Hilliard equation of phase separation and for the Sivashinsky equation of solid-liquid interface in binary alloys. Optimal error bounds are derived in various norms, and numerical results for the one-dimensional Cahn-Hilliard equation are given using Crank-Nicolson time discretization.
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页码：3 / 22
页数：20
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