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The authors consider the Ginzburg-Landau model for superconductivity. First some well-known features of superconducting materials are reviewed and then various results concerning the model, the resultant differential equations, and their solution on bounded domains are derived. Then, finite element approximations of the solutions of the Ginzburg-Landau(More)
A recently developed Centroidal Voronoi Tessellation (CVT) sampling method is investigated here to assess its suitability for use in response surface generation. CVT is an unstructured sampling method that can generate nearly uniform point spacing over arbitrarily shaped M-dimensional parameter spaces. For rectangular parameter spaces (hypercubes), CVT(More)
A recently developed centroidal Voronoi tessellation (CVT) sampling method is investigated here to assess its suitability for use in statistical sampling applications. CVT efficiently generates a highly uniform distribution of sample points over arbitrarily shaped M-dimensional parameter spaces. On several 2-D test problems CVT has recently been found to(More)
* Abstract A recently developed Centroidal Voronoi Tessellation (CVT) unstructured sampling method is investigated here to assess its suitability for use in statistical sampling and function integration. CVT efficiently generates a highly uniform distribution of sample points over arbitrarily shaped M-Dimensional parameter spaces. It has recently been shown(More)
A recently developed Centroidal Voronoi Tessellation (CVT) sampling method is investigated here to assess its suitability for use in statistical sampling applications. CVT efficiently generates a highly uniform distribution of sample points over arbitrarily shaped M-Dimensional parameter spaces. On several 2-D test problems CVT has recently been found to(More)
The use of smokeless tobacco appears to be a socially acceptable behavior among certain ethnic and cultural groups in developing and developed countries. Some native groups in the Northwest Territories have traditionally used smokeless tobacco. With the visits of the merchant supply ships to the Northwest Territories in the early 1950's, a wider commercial(More)
A computational study of mixed states in mesoscopic type-II superconducting cylinders is presented. The dependence of transient behaviors and steady-state configurations on the value of the applied magnetic field is examined as are the effects of sample size and cross-sectional shape on vortex nucleation and penetration. As is well known, more vortices(More)
A computational study of superconducting states near the superconducting-normal phase boundary in mesoscopic finite cylinders is presented. The computational approach uses a finite element method to find numerical solutions of the linearized Ginzburg-Landau equation for samples with various sizes, aspect ratios, and cross-vector potential is determined(More)
Thermal fluctuations and material inhomogeneities have a large effect on superconducting phenomena, possibly inducing transitions to the non-superconducting state. To gain a better understanding of these effects, the Ginzburg–Landau model is studied in situations for which the described physical processes are subject to uncertainty. An adequate description(More)