Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629605 | Applied Mathematics and Computation | 2013 | 7 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
P. Kazemi, R.J. Renka,