Fully discrete spectral-Galerkin linear and unconditionally energy stable algorithm for the square phase-field crystal system

被引：6

作者：

Min, Xilin ^{[1
]}

Zhang, Jun ^{[2
]}

机构：

[1] Guangdong Univ Foreign Studies, Sch Innovat & Entrepreneurship Educ, Guangzhou 510006, Peoples R China

[2] Guizhou Univ Finance & Econ, Computat Math Res Ctr, Guizhou Key Lab Big Data Stat Anal, Guiyang 550025, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 131卷

基金：

中国国家自然科学基金;

关键词：

Square phase-field crystal; Second-order; Spectral; Cahn-Hilliard; Energy stability; FINITE-DIFFERENCE SCHEME; MODEL;

D O I：

10.1016/j.aml.2022.107992

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider developing a fully discrete type numerical algorithm for the square phase-field crystal system in this article. The scheme is based on the combination of the spectral-Galerkin method for spatial discretization and an invariant energy quadratization (IEQ) method for time marching. The obtained scheme consists of several decoupled, constant-coefficient linear equations with second-order temporal convergence rate and unconditional energy stability. We prove the unconditional energy stability rigorously and further carry out various numerical examples to demonstrate the effectiveness of the developed scheme, numerically. (c) 2022 Published by Elsevier Ltd.

引用

页数：7

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