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

Joint Authors

Ren, Shixian
Bi, Hai
Yang, Yidu

Source

Mathematical Problems in Engineering

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-12-06

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Civil Engineering

Abstract EN

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.

American Psychological Association (APA)

Bi, Hai& Ren, Shixian& Yang, Yidu. 2011. Conforming Finite Element Approximations for a Fourth-Order Steklov Eigenvalue Problem. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-505180

Modern Language Association (MLA)

Bi, Hai…[et al.]. Conforming Finite Element Approximations for a Fourth-Order Steklov Eigenvalue Problem. Mathematical Problems in Engineering No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-505180

American Medical Association (AMA)

Bi, Hai& Ren, Shixian& Yang, Yidu. Conforming Finite Element Approximations for a Fourth-Order Steklov Eigenvalue Problem. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-505180

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-505180