Schrödinger eigenbasis on a class of superconducting surfaces: ansatz, analysis, FEM approximations and computations

DOI10.1016/J.APNUM.2014.11.005zbMath1308.82091OpenAlexW2337194547MaRDI QIDQ482403

T. Thompson, Mahadevan Ganesh

Publication date: 30 December 2014

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2014.11.005

zbMATH Keywords

finite element methodmanifoldseigenvaluesSchrödinger operatoreigenfunctions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Statistical mechanics of superconductors (82D55) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Ginzburg-Landau equations (35Q56)

Related Items (2)

A Spectrally Accurate Algorithm and Analysis for a Ginzburg--Landau Model on Superconducting Surfaces ⋮ An efficient algorithm for a class of stochastic forward and inverse Maxwell models in \(\mathbb{R}^3\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical simulations of the quantized vortices on a thin superconducting hollow sphere
• A fully discrete \(H^1\)-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations
• Ginzburg-Landau phase transition theory and superconductivity
• Spectral properties of Schrödinger operators on superconducting surfaces
• Discrete Petrov-Galerkin scheme for boundary value differential and integral problems: Theory and applications
• A model for variable thickness superconducting thin films
• A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres
• Partielle Differentialgleichungen und numerische Methoden
• Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations

This page was built for publication: Schrödinger eigenbasis on a class of superconducting surfaces: ansatz, analysis, FEM approximations and computations