The Lower/Upper Bound Property of Approximate Eigenvalues by Nonconforming Finite Element Methods for Elliptic Operators

Author:

Hu Jun,Huang Yunqing,Shen Quan

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference25 articles.

1. Armentano, M.G., Duran, R.G.: Asymptotic lower bounds for eigenvalues by nonconforming finite element methods. ETNA 17, 93–101 (2004)

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

3. Boffi, D.: Finite element approximation of eigenvalue problems. Acta Numerica 19, 1–120 (2010)

4. Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. SIAM Classics in Applied Mathematics, Philadelphia (2002)

5. Crouzeix, M., Raviart, P.-A.: Conforming and nonconforming finite element methods for solving the stationary Stokes equations. RAIRO Anal. Numér. 7, 33–76 (1973)

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