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.

引用

页码：3 / 22

页数：20

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