Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations |
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Authors: | Qin Li Qun Lin Hehu Xie |
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Institution: | 1. LSEC, ICMSEC, Academy of Mathematics and Systems Science and Graduate University of Chinese Academy Sciences, Chinese Academy of Sciences, Beijing, 100190, P.R.China
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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 1 rot , EQ 1 rot 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. |
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