Minimization of the Ginzburg–Landau energy functional by a Sobolev gradient trust-region method
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摘要
We describe a generalized Levenberg–Marquardt method for computing critical points of the Ginzburg–Landau energy functional which models superconductivity. The algorithm is a blend of a Newton iteration with a Sobolev gradient descent method, and is equivalent to a trust-region method in which the trust-region radius is defined by a Sobolev metric. Numerical test results demonstrate the method to be remarkably effective.
论文关键词:Ginzburg–Landau,Gradient system,Least squares,Levenberg–Marquardt,Sobolev gradient,Trust region
论文评审过程:Available online 21 January 2013.
论文官网地址:https://doi.org/10.1016/j.amc.2012.12.038