A generalized scalar auxiliary variable method for the time-dependent Ginzburg-Landau equations

被引：1

作者：

Si, Zhiyong ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2024年 / 44卷 / 02期

基金：

中国国家自然科学基金;

关键词：

time-dependent Ginzburg-Landau equation; generalized scalar auxiliary variable algorithm; maximum bound principle; energy stability; GALERKIN FEMS; EFFICIENT; SCHEMES; MODEL;

D O I：

10.1007/s10473-024-0215-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper develops a generalized scalar auxiliary variable (SAV) method for the time-dependent Ginzburg-Landau equations. The backward Euler method is used for discretizing the temporal derivative of the time-dependent Ginzburg-Landau equations. In this method, the system is decoupled and linearized to avoid solving the non-linear equation at each step. The theoretical analysis proves that the generalized SAV method can preserve the maximum bound principle and energy stability, and this is confirmed by the numerical result, and also shows that the numerical algorithm is stable.

引用

页码：650 / 670

页数：21

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