A GENERALIZED SCALAR AUXILIARY VARIABLE METHOD FOR THE TIME-DEPENDENT GINZBURG-LANDAU EQUATIONS  

作　　者：司智勇 Zhiyong SI(School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo,454003,China)

机构地区：[1]School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo,454003,China

出　　处：《Acta Mathematica Scientia》2024年第2期650-670,共21页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(12126318,12126302).

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.

关 键 词：time-dependent Ginzburg-Landau equation generalized scalar auxiliary variable algorithm maximum bound principle energy stability 

分 类 号：O241.8[理学—计算数学]