Sobolev Gradients and the Ginzburg--Landau Functional

DOI10.1137/S1064827596302722zbMath0920.35059MaRDI QIDQ4210430

Robert J. Renka, John W. Neuberger

Publication date: 21 September 1998

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

algorithmsuperconductivity

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for elliptic systems (35J50)

Related Items (10)

A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates ⋮ Constructing fair curves and surfaces with a Sobolev gradient method ⋮ Minimization of the Ginzburg-Landau energy functional by a Sobolev gradient trust-region method ⋮ Sobolev gradient preconditioning for image‐processing PDEs ⋮ Operator preconditioning with efficient applications for nonlinear elliptic problems ⋮ Critical Points of the Ginzburg–Landau Functional on Multiply-Connected Domains ⋮ Sobolev preconditioning for the Poisson-Boltzmann equation ⋮ Multiscale and hysteresis effects in vortex pattern simulations for Ginzburg-Landau problems ⋮ High-order Sobolev preconditioning ⋮ Numerical approximations of the Ginzburg–Landau models for superconductivity

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