Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements-Reference-Cited by-同舟云学术

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Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements

Published:2018-01-08 Issue:1 Volume:35 Page:335-354
ISSN:0916-7005
Container-title:Japan Journal of Industrial and Applied Mathematics
language:en
Short-container-title:Japan J. Indust. Appl. Math.

Author:

Xie Manting,Xie Hehu,Liu Xuefeng^ORCID

Funder

Japan Society for the Promotion of Science

National Science Foundation of China

Science Challenge Project, CAS, China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Link

http://link.springer.com/article/10.1007/s13160-017-0291-7/fulltext.html

Reference27 articles.

1. Babuška, I., Osborn, J.E.: Finite element-Galerkin approximation of the eigenvalues and eigenvectors of selfadjoint problems. Math. Comput. 52, 275–297 (1989)

2. Babuška, I., Osborn, J.: Eigenvalue problems. In: Lions, P.G., Ciarlet, P.G. (eds.) Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part 1), pp. 641–787. North-Holland, Amsterdam (1991)

3. Batcho, P., Karniadakis, G.: Generalized Stokes eigenfunctions: a new trial basis for the solution of the incompressible Navier–Stokes equations. J. Comput. Phys. 115, 121–146 (1994)

4. Brenner, S., Scott, L.: The Mathematical Theory of Finite Element Methods. Springer, New York (1994)

5. Chatelin, F.: Spectral Approximation of Linear Operators. Academic Press Inc, New York (1983)

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