A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods
Gespeichert in:
Verfasser / Beitragende:
[Hehu Xie]
Ort, Verlag, Jahr:
2015
Enthalten in:
BIT Numerical Mathematics, 55/4(2015-12-01), 1243-1266
Format:
Artikel (online)
Online Zugang:
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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 | ||