computingthelowerandupperboundsoflaplaceeigenvalueproblembycombiningconformingandnonconformingfiniteelementmethods

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	computingthelowerandupperboundsoflaplaceeigenvalueproblembycombiningconformingandnonconformingfiniteelementmethods
	Luo Fusheng; Lin Qun; Xie Hehu
刊名	sciencechinamathematics
	2012
卷号	55 期号:5 页码:1069
ISSN号	1674-7283
英文摘要	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.
资助项目	[National Science Foundations of China] ; [Croucher Foundation of Hong Kong Baptist University]
语种	英语
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/48458]
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.