Conforming Finite Element Approximations for a Fourth-Order Steklov Eigenvalue Problem | Zendy

Hai Bi | Zendy; Shixian Ren | Zendy; Yidu Yang | Zendy

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Conforming Finite Element Approximations for a Fourth-Order Steklov Eigenvalue Problem

Author(s) -

Hai Bi,

Shixian Ren,

Yidu Yang

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/873152

Subject(s) - eigenvalues and eigenvectors , finite element method , mathematics , element (criminal law) , order (exchange) , domain (mathematical analysis) , spectrum (functional analysis) , operator (biology) , mathematical analysis , square (algebra) , geometry , physics , structural engineering , engineering , biochemistry , chemistry , finance , repressor , quantum mechanics , political science , law , transcription factor , economics , gene

This paper characterizes the spectrum of a fourth-order Steklov eigenvalue problem by using the spectral theory of completely continuous operator. The conforming finite element approximation for this problem is analyzed, and the error estimate is given. Finally, the bounds for Steklov eigenvalues on the square domain are provided by Bogner-Fox-Schmit element and Morley element

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