A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods

Verfasser / Beitragende:
[Hehu Xie]
Ort, Verlag, Jahr:
2015
Enthalten in:
BIT Numerical Mathematics, 55/4(2015-12-01), 1243-1266
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10543-015-0545-1  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10543-015-0545-1 
100 1 |a Xie  |D Hehu  |u LSEC, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China  |4 aut 
245 1 2 |a A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods  |h [Elektronische Daten]  |c [Hehu Xie] 
520 3 |a 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. 
540 |a Springer Science+Business Media Dordrecht, 2015 
690 7 |a Eigenvalue problem  |2 nationallicence 
690 7 |a Multi-level correction  |2 nationallicence 
690 7 |a Multigrid  |2 nationallicence 
690 7 |a Finite element method  |2 nationallicence 
773 0 |t BIT Numerical Mathematics  |d Springer Netherlands  |g 55/4(2015-12-01), 1243-1266  |x 0006-3835  |q 55:4<1243  |1 2015  |2 55  |o 10543 
856 4 0 |u https://doi.org/10.1007/s10543-015-0545-1  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10543-015-0545-1  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Xie  |D Hehu  |u LSEC, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t BIT Numerical Mathematics  |d Springer Netherlands  |g 55/4(2015-12-01), 1243-1266  |x 0006-3835  |q 55:4<1243  |1 2015  |2 55  |o 10543