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Computational simulation of vortex phenomena in superconductors. (English) Zbl 1109.82339
Summary: We have developed a numerical method for approximating critical points of the Ginzburg-Landau functional. We briefly describe the capabilities of our codes and present some test results for the two-dimensional case in the form of plots of electron densities and magnetic fields. Our results demonstrate that vortices can be pinned to small holes corresponding to normal (non-superconducting) regions.

82D55 Statistical mechanical studies of superconductors
35J50 Variational methods for elliptic systems
35Q55 NLS equations (nonlinear Schrödinger equations)
65K10 Numerical optimization and variational techniques
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