Mu, Mo; Deng, Yuefan; Chou, Chung-Chiang Numerical methods for simulating Ginzburg-Landau vortices. (English) Zbl 0908.65121 SIAM J. Sci. Comput. 19, No. 4, 1333-1339 (1998). Summary: Numerical solution to the Ginzburg-Landau (GL) equation becomes infeasible as the GL parameter \(\kappa\) and the number of GL vortices increase to a physically interesting regime. It is in this regime that we focus our attention to design a simulated annealing approach for minimizing the associated renormalized energy to study the GL vortex configurations. This approach applied to a commonly used model produces vortex configurations which are of interest in recent studies. Cited in 1 Document MSC: 65Z05 Applications to the sciences 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35J65 Nonlinear boundary value problems for linear elliptic equations 82D55 Statistical mechanics of superconductors 90C27 Combinatorial optimization 65K05 Numerical mathematical programming methods Keywords:Ginzburg-Landau vortex; renormalized energy; simulated annealing; superconductivity; Ginzburg-Landau equation Software:ELLPACK PDFBibTeX XMLCite \textit{M. Mu} et al., SIAM J. Sci. Comput. 19, No. 4, 1333--1339 (1998; Zbl 0908.65121) Full Text: DOI