Sobolev gradient approach for the time evolution related to energy minimization of Ginzburg-Landau functionals

Authors:
Nauman Raza;Sultan Sial;Shahid S. Siddiqi
Affiliations:
Department of Mathematics, University of the Punjab, House No. 15, Street No. 39, Lahore, Punjab 54840, Pakistan and Lahore University of Management Sciences, Lahore, Pakistan;Department of Mathematics, Lahore University of Management Sciences, Opposite Sector U, DHA, Lahore Cantt. 54792, Pakistan;Department of Mathematics, University of the Punjab, House No. 15, Street No. 39, Lahore, Punjab 54840, Pakistan
Venue:
Journal of Computational Physics
Year:
2009

Citing 5
Cited 5

A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates

Mathematics and Computers in Simulation - Nonlinear waves: computation and theory II
Energy minimization using Sobolev gradients: application to phase separation and ordering

Journal of Computational Physics
On the recovery of transport parameters in groundwater modelling

Journal of Computational and Applied Mathematics - Special issue: On the occasion of the eightieth birthday of prof. W.M. Everitt
Preconditioning operators and Sobolevgradients for nonlinear elliptic problems

Computers & Mathematics with Applications
Sobolev gradient preconditioning for the electrostatic potential equation

Computers & Mathematics with Applications

Approximating time evolution related to Ginzburg-Landau functionals via Sobolev gradient methods in a finite-element setting

Journal of Computational Physics
Application of Sobolev gradient method to Poisson-Boltzmann system

Journal of Computational Physics
Approximate solutions to Poisson-Boltzmann systems with Sobolev gradients

Journal of Computational Physics
Optical tomography reconstruction algorithm with the finite element method: An optimal approach with regularization tools

Journal of Computational Physics
Numerical approximation of time evolution related to Ginzburg-Landau functionals using weighted Sobolev gradients

Computers & Mathematics with Applications

Quantified Score

Hi-index	31.47

Visualization

Abstract

The Sobolev gradient technique has been discussed previously in this journal as an efficient method for finding energy minima of certain Ginzburg-Landau type functionals [S. Sial, J. Neuberger, T. Lookman, A. Saxena, Energy minimization using Sobolev gradients: application to phase separation and ordering, J. Comput. Phys. 189 (2003) 88-97]. In this article a Sobolev gradient method for the related time evolution is discussed.