| Title |
|
|
|
An optimal linear solver for the Jacobian system of the extreme type-II Ginzburg-Landau problem
|
|
| Author |
|
|
|
|
|
| Abstract |
|
|
|
| This paper considers the extreme type-II GinzburgLandau equations, a nonlinear PDE model for describing the states of a wide range of superconductors. Based on properties of the Jacobian operator and an AMG strategy, a preconditioned NewtonKrylov method is constructed. After a finite-volume-type discretization, numerical experiments are done for representative two- and three-dimensional domains. Strong numerical evidence is provided that the number of Krylov iterations is independent of the dimension n of the solution space, yielding an overall solver complexity of O(n). |
|
|
| Language |
|
|
|
English
|
|
| Source (journal) |
|
|
|
Journal of computational physics. - New York |
|
| Publication |
|
|
|
New York : 2013
|
|
| ISSN |
|
|
|
0021-9991
|
|
| Volume/pages |
|
|
|
234(2013), p. 560-572
|
|
| ISI |
|
|
|
000311644900030
|
|
| Full text (Publisher's DOI) |
|
|
| |
|
| Full text (open access) |
|
|
| |
|
| Full text (publisher's version - intranet only) |
|
|
| |
|