Minimization of the Ginzburg-Landau energy functional by a Sobolev gradient trust-region method

DOI10.1016/J.AMC.2012.12.038zbMath1273.65082OpenAlexW2140245548MaRDI QIDQ371496

Parimah Kazemi, Robert J. Renka

Publication date: 10 October 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.12.038

zbMATH Keywords

gradient systemleast squaresSobolev gradientGinzburg-Landautrust regionLevenberg-Marquardt

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for free problems in two or more independent variables (49J10) Discrete approximations in optimal control (49M25)

Related Items (3)

Inner product preconditioned trust-region methods for frequency-domain full waveform inversion ⋮ A Levenberg-Marquardt method based on Sobolev gradients ⋮ A trust region method for constructing triangle-mesh approximations of parametric minimal surfaces

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• Numerical effects in the simulation of Ginzburg–Landau models for superconductivity
• Sobolev gradients and differential equations

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