caa a22 4500 60549701X CHVBK 20210128100539.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10543-015-0545-1 doi (NATIONALLICENCE)springer-10.1007/s10543-015-0545-1 Xie Hehu LSEC, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China aut A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods [Elektronische Daten] [Hehu Xie] In this paper, a type of multi-level correction scheme is proposed to solve eigenvalue problems by nonconforming finite element methods. With this new scheme, the accuracy of eigenpair approximations can be improved after each correction step which only needs to solve a source problem on finer finite element space and an eigenvalue problem on a coarse finite element space. This correction scheme can improve the efficiency of solving eigenvalue problems by the nonconforming finite element method. Furthermore, the same as the direct eigenvalue solving by the nonconforming finite element method, this multi-level correction method can also produce the lower-bound approximations of the eigenvalues. Springer Science+Business Media Dordrecht, 2015 Eigenvalue problem nationallicence Multi-level correction nationallicence Multigrid nationallicence Finite element method nationallicence BIT Numerical Mathematics Springer Netherlands 55/4(2015-12-01), 1243-1266 0006-3835 55:4<1243 2015 55 10543 https://doi.org/10.1007/s10543-015-0545-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10543-015-0545-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Xie Hehu LSEC, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Springer Netherlands 55/4(2015-12-01), 1243-1266 0006-3835 55:4<1243 2015 55 10543