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Luo Fusheng; Lin Qun; Xie Hehu
Source Publicationsciencechinamathematics
AbstractWe 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.
Funding Project[National Science Foundations of China] ; [Croucher Foundation of Hong Kong Baptist University]
Document Type期刊论文
Recommended Citation
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.
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