An optimal linear solver for the Jacobian system of the extreme type-II Ginzburg-Landau problem

JOURNAL OF COMPUTATIONAL PHYSICS

卷:234

Article

Schloemer, N.¹  Vanroose, W.¹ 

[1] Univ Antwerp, Dept Wiskunde Informat, B-2020 Antwerp, Belgium

关键词: Ginzburg-Landau equations;    Preconditioning;    Algebraic multigrid;   

DOI  :  10.1016/j.jcp.2012.10.013

来源: Elsevier

【 摘 要 】

This paper considers the extreme type-II Ginzburg-Landau 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 Newton-Krylov 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). (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free