The Ginzburg-Landau (GL) theory is a celebrated tool for theoretical modelling of superconductors . We elaborate on different partial differential equations (PDEs) and boundary conditions for GL theory, formulated within the finite element method (FEM) . Examples of PDEs for the calculation of stationary states with the GL equation and with the time-dependent GL equation are given. Moreover we study real time evolution with the so called Schrödinger-GL equation . For simplicity we here present numerical data for a twodimensional rectangular geometry, but we emphasize that our FEM formulation can handle complex geometries also in a three-dimensional superconducting structure. To include external currents in our modelling we discuss the role of the boundary conditions for the external magnetic field . Finally we show results for the pinning of vortices with controlled impurities.
|Publication status||Published - 2011|
|Event||7.th International Conference on Vortex Matter in Nanostructured Superconductors - Rhodes Greece,|
Duration: 1 Jan 2011 → …
|Conference||7.th International Conference on Vortex Matter in Nanostructured Superconductors|
|Period||01/01/2011 → …|