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7. Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations.

Author

Li, Qin, Lin, Qun, and Xie, Hehu

Subjects
*FINITE element method, *APPROXIMATION theory, *EIGENVALUE equations, *MATHEMATICAL bounds, *ERROR analysis in mathematics, *ESTIMATION theory, *NUMERICAL analysis
Abstract

The paper deals with error estimates and lower bound approximations of the Steklov eigenvalue problems on convex or concave domains by nonconforming finite element methods. We consider four types of nonconforming finite elements: Crouzeix-Raviart, Q, EQ and enriched Crouzeix-Raviart. We first derive error estimates for the nonconforming finite element approximations of the Steklov eigenvalue problem and then give the analysis of lower bound approximations. Some numerical results are presented to validate our theoretical results. [ABSTRACT FROM AUTHOR]

Published
2013
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