computingthelowerandupperboundsoflaplaceeigenvalueproblembycombiningconformingandnonconformingfiniteelementmethods

	computingthelowerandupperboundsoflaplaceeigenvalueproblembycombiningconformingandnonconformingfiniteelementmethods
	Luo Fusheng; Lin Qun; Xie Hehu
	2012
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	55 期号:5 页码:1069
摘要	We introduce some ways to compute the lower and upper bounds of the Laplace eigenvalue problem. By using the special nonconforming finite elements, i.e., enriched Crouzeix-Raviart element and extended Q (1) (rot) , we get the lower bound of the eigenvalue. Additionally, we use conforming finite elements to do the postprocessing to get the upper bound of the eigenvalue, which only needs to solve the corresponding source problems and a small eigenvalue problem if higher order postprocessing method is implemented. Thus, we can obtain the lower and upper bounds of the eigenvalues simultaneously by solving eigenvalue problem only once. Some numerical results are also presented to demonstrate our theoretical analysis.
语种	英语
资助项目	[National Science Foundations of China] ; [Croucher Foundation of Hong Kong Baptist University]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/48459
专题	计算数学与科学工程计算研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Luo Fusheng,Lin Qun,Xie Hehu. computingthelowerandupperboundsoflaplaceeigenvalueproblembycombiningconformingandnonconformingfiniteelementmethods[J]. sciencechinamathematics,2012,55(5):1069.
APA	Luo Fusheng,Lin Qun,&Xie Hehu.(2012).computingthelowerandupperboundsoflaplaceeigenvalueproblembycombiningconformingandnonconformingfiniteelementmethods.sciencechinamathematics,55(5),1069.
MLA	Luo Fusheng,et al."computingthelowerandupperboundsoflaplaceeigenvalueproblembycombiningconformingandnonconformingfiniteelementmethods".sciencechinamathematics 55.5(2012):1069.