A LONG-TIME STABLE FULLY DISCRETE APPROXIMATION OF THE CAHN-HILLIARD EQUATION WITH INERTIAL TERM

被引：0

作者：

Grasselli, Maurizio ^{[1
]}

Lecoq, Nicolas ^{[2
]}

Pierre, Morgan ^{[3
]}

机构：

[1] Politecn Milan, Dipartimento Matemat F Brioschi, Via E Bonardi 9, I-20133 Milan, Italy

[2] Univ Rouen, Grp Phys Mat, CNRS, UMR 6634, F-76801 St Etienne, France

[3] Univ Poitiers, Lab Math & Applicat, CNRS, UMR 6086, F-86962 Futuroscope, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷

关键词：

Second-order gradient-like flow; Cahn-Hilliard equation; mixed finite elements; discrete negative norms; numerical integration; Lojasiewicz inequality; SPINODAL DECOMPOSITION; BINARY-SYSTEM; HYPERBOLIC RELAXATION; SPLITTING METHOD; SMOOTH; 3D;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the Lyapunov stability of a time and space discretization of the Cahn-Hilliard equation with inertial term. The space discretization is a mixed (or "splitting") finite element method with numerical integration which includes a standard finite difference approximation. The time discretization is the backward Euler scheme. The smallness assumption on the time step does not depend on the mesh step.

引用

页码：543 / 552

页数：10

共 23 条

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