An energy-stable second-order finite element method for the Swift-Hohenberg equation

被引：2
|
作者：
Qi, Longzhao [1 ]
Hou, Yanren [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2023年 / 42卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Swift-Hohenberg equation; Finite element; Energy stability; Boundedness; LOCAL COLLOCATION METHOD; DIFFERENCE SCHEME; CAHN-HILLIARD; CRYSTAL; EFFICIENT;
D O I：
10.1007/s40314-022-02144-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we design and analyze an unconditionally energy-stable, second-order-in-time, finite element scheme for the Swift-Hohenberg equation. We prove rigorously that our scheme is unconditionally uniquely solvable and unconditionally energy stable. We also give the boundedness of discrete phase variable for any time and space mesh sizes. Numerical tests are presented to validate the accuracy and energy stability of our scheme.
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页数：18
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