The Ginzburg-Landau Equation Solved by the Finite Element Method
T.S. Larsen, M.P. Sørensen, N.F. Pedersen, and S. Madsen
Technical University of Denmark
Absolute value of the solution of the Ginzburg-Landau equation for the unit disc
Around 1950 V.L. Ginzburg and L.D. Landau proposed a phenomenological theory for phase transitions.
One of the more successful applications of the theory is to superconductivity and in particular to superconductors placed in a magnetic field.
Some superconductors allow for magnetic field penetration through quantized current vortices when the magnetic field exceeds a threshold value.
In this article we solve numerically the time dependent Ginzburg-Landau equation coupled to a magnetic field for such superconductors of complex geometry.