Minimization of the Ginzburg-Landau energy functional by a Sobolev gradient trust-region method
نویسندگان
چکیده
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 trustregion radius is defined by a Sobolev metric. Numerical test results demonstrate the method to be remarkably effective. keywords: Ginzburg-Landau; gradient system; least squares; LevenbergMarquardt; Sobolev gradient; trust region
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 219 شماره
صفحات -
تاریخ انتشار 2013