Nonlinearly preconditioned Jacobian-free Newton-Krylov methods

摘要：

In this paper, we present a new nonlinear preconditioner for Jacobian-free Newton-Krylov methods. In our method, we solve a new nonlinear system which is equivalent to the original system but more balanced in nonlinearities. This new preconditioner is fully matrix-free. We apply this new preconditioner to the nonlinear system arising from the diserctization of 2D shallow-water equations. Numerical results show that with this new preconditioner, Newton-GMRES method can be more efficient and robust.

关键词： Preconditioning techniques Krylov subspace Inezact Newton methods

作者: Jisheng Kou Xiuhua Wang Yitian Li

作者单位: State Key Laboratory of Water Resources and Hydropower Engineering Sciences, Wuhan University,Wuhan Department of Mathematics, Shanghai University, Shanghai 200444, China State Key Laboratory of Water Resources and Hydropower Engineering Sciences, Wuhan University,Wuhan

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 689-693

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）