afullmultigridmethodfornonlineareigenvalueproblems

	afullmultigridmethodfornonlineareigenvalueproblems
	Jia Shanghui 1; Xie Hehu2 ; Xie Manting 2; Xu Fei 2
	2016-01-01
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	59 期号:10 页码:2037
摘要	We introduce a type of full multigrid method for the nonlinear eigenvalue problem. The main idea is to transform the solution of the nonlinear eigenvalue problem into a series of solutions of the corresponding linear boundary value problems on the sequence of finite element spaces and nonlinear eigenvalue problems on the coarsest finite element space. The linearized boundary value problems are solved by some multigrid iterations.Besides the multigrid iteration, all other efficient iteration methods for solving boundary value problems can serve as the linear problem solver. We prove that the computational work of this new scheme is truly optimal,the same as solving the linear corresponding boundary value problem. In this case, this type of iteration scheme certainly improves the overfull efficiency of solving nonlinear eigenvalue problems. Some numerical experiments are presented to validate the efficiency of the new method.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/45518
专题	计算数学与科学工程计算研究所
作者单位	1.中央财经大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Jia Shanghui,Xie Hehu,Xie Manting,et al. afullmultigridmethodfornonlineareigenvalueproblems[J]. sciencechinamathematics,2016,59(10):2037.
APA	Jia Shanghui,Xie Hehu,Xie Manting,&Xu Fei.(2016).afullmultigridmethodfornonlineareigenvalueproblems.sciencechinamathematics,59(10),2037.
MLA	Jia Shanghui,et al."afullmultigridmethodfornonlineareigenvalueproblems".sciencechinamathematics 59.10(2016):2037.