ERROR ESTIMATES FOR SECOND-ORDER SAV FINITE ELEMENT METHOD TO PHASE FIELD CRYSTAL MODEL

被引：7
|
作者：
Wang, Liupeng [1 ]
Huang, Yunqing [2 ]
机构：
[1] Hunan Inst Engn, Sch Computat Sci & Elect, Xiangtan 411104, Hunan, Peoples R China
[2] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2021年 / 29卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Error estimates; energy stability; finite element method; scalar auxiliary variable approach; Crank-Nicolson scheme; phase field crystal model; DISCONTINUOUS GALERKIN METHOD; DIFFERENCE SCHEME; CONVERGENCE; STABILITY;
D O I：
10.3934/era.2020089
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the second-order scalar auxiliary variable approach in time and linear finite element method in space are employed for solving the Cahn-Hilliard type equation of the phase field crystal model. The energy stability of the fully discrete scheme and the boundedness of numerical solution are studied. The rigorous error estimates of order O (tau(2) + h(2)) in the sense of L-2-norm is derived. Finally, some numerical results are given to demonstrate the theoretical analysis.
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页码：1735 / 1752
页数：18
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