NUMERICAL-ANALYSIS OF A CONTINUUM MODEL OF PHASE-TRANSITION

被引：245

作者：

DU, Q ^{[1
]}

NICOLAIDES, RA ^{[1
]}

机构：

[1] CARNEGIE MELLON UNIV, DEPT MATH, PITTSBURGH, PA 15213 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 05期

关键词：

PARABOLIC EQUATIONS; PHASE TRANSITIONS; CAHN-HILLIARD EQUATION;

D O I：

10.1137/0728069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method for solution of the Cahn-Hilliard equation is presented. Unlike previous work, the discrete equations for the new method possess a Lyapunov function. This makes it possible to prove convergence of the approximate solutions without assumptions beyond those necessary for existence and uniqueness of the differential equation. Several consequences are explored.

引用

页码：1310 / 1322

页数：13