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

Authors:
Nauman Raza;Sultan Sial;S. Siddiqi
Affiliations:
Department of Mathematics, University of the Punjab, Lahore, Research Associate, 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, Lahore, Pakistan
Venue:
Journal of Computational Physics
Year:
2010

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Abstract

Sobolev gradients have previously [1] been used to approximate time evolution related to a model A functional in a finite-difference setting in this journal. Here a related approach in a finite-element setting is discussed.