Implicit Integration of the Time-Dependent Ginzburg--Landau Equations of Superconductivity
Implicit Integration of the Time-Dependent Ginzburg--Landau Equations of Superconductivity
This article is concerned with the integration of the time-dependent Ginzburg--Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to nonlinearly 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 …