Simulating the time-dependentdx2−y2Ginzburg-Landau equations using the finite-element method

Qianghua Wang, Z. D. Wang
1996 Physical Review B (Condensed Matter)  
The time-dependent Ginzburg-Landau equations describing a d-wave superconductor are simulated by the finite-element method. The equilibrium vortex structure in bulk samples, the nature of vortices in bulk and finite-size samples subject to various types of pinnings, and the transport behaviors are addressed. The extended finite-element method proves to be flexible to deal with various types of boundary conditions, desirable to simulate relaxation processes with very long time scales as well as
more » ... he dynamics of vortices, especially in highsuperconductors. ͓S0163-1829͑96͒51246-4͔ PHYSICAL REVIEW B
doi:10.1103/physrevb.54.r15645 pmid:9985723 fatcat:2n2i637szzdmnfnq2zkx4shfje