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arXiv math/9906176math.NAcs.NA
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超导时间依赖金兹堡-朗道方程的隐式积分

Implicit Integration of the Time-Dependent Ginzburg-Landau Equations of Superconductivity

D. O. Gunter, H. G. Kaper, G. K. Leaf

AI总结:

本文提出并评估了四种从全显式到全隐式的TDGL方程积分算法,以涡旋平衡为基准,关注稳定性、精度和计算时间。

摘要:

本文关注超导时间依赖金兹堡-朗道(TDGL)方程的积分问题。我们提出了四种算法,从全显式到全隐式,并评估了它们的稳定性、精度和计算时间。评估的基准问题是嵌入薄绝缘体中的超导体在施加磁场作用下涡旋构型的平衡。

英文摘要:

This article is concerned with the integration of the time-dependent Ginzburg-Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to fully implicit, are presented and evaluated for stability, accuracy, and compute time. The benchmark problem for the evaluation is the equilibration of a vortex configuration in a superconductor that is embedded in a thin insulator and subject to an applied magnetic field.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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