Unconditional energy stability and temporal convergence of first-order numerical scheme for the square phase-field crystal model

被引：1

作者：

Zhao, Guomei ^{[1
]}

Hu, Shuaifei ^{[2
]}

Zhu, Peicheng ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Wenzhou Univ, Dept Math & Phys, Wenzhou 325035, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 143卷

关键词：

Square phase-field crystal model; Energy stability; Euler scheme; Temporal convergence; Error estimates; FINITE-DIFFERENCE SCHEME; STABLE SCHEMES; 2ND-ORDER;

D O I：

10.1016/j.camwa.2023.05.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a sixth-order nonlinear parabolic problem of the square phase-field crystal model. We first demonstrate the time-discrete backward Euler scheme with mass conservation and energy stability. Then, we prove the unconditionally optimal error estimates for the time-discrete backward Euler scheme. In the end, we present 2D and 3D numerical simulations to confirm the theoretical results.

引用

页码：318 / 326

页数：9

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