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

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

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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.

time-dependent Ginzburg-Landau equationgeneralized scalar auxiliary vari-able algorithmmaximum bound principleenergy stability

司智勇

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School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454003,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of China

1212631812126302

2024

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子:0.256
ISSN:0252-9602
年,卷(期):2024.44(2)
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