Paper Titles

Classification of UO₂ Green Pellet Quality Using Intelligent Techniques
p.2054

An Algorithm of Iterative Learning Control Based on Vector Plots Analysis and its Robustness
p.2065

Multi-Attribute Decision Making Method Based on Intuitionistic Fuzzy Grey Sets
p.2070

Multi-Channel Fiber Optical Sensing System for Urban Bridge Cluster Health Monitoring
p.2075

A Posteriori Error Estimates for a Steklov Eigenvalue Problem
p.2081

A Two-Grid Discretization Scheme for a Sort of Steklov Eigenvalue Problem
p.2087

Two Optimal Double Inequalities for Error Function
p.2092

Digital Design Research on Color Simulation of Woven Trademark
p.2096

Oscillation of Differential Equations with Variable Coefficients on Time Scales
p.2100

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 557-559A Posteriori Error Estimates for a Steklov...

A Posteriori Error Estimates for a Steklov Eigenvalue Problem

Article Preview

Abstract:

This paper discusses the finite element approximation for a Steklov eigenvalue problem. Based on the work of Armentano and Padra ( Appl Numer Math 58 (2008) 593-601), an a posteriori error estimator is provided and its validity and reliability are proved theoretically. Finally, numerical experiments with Matlab program are carried out to confirm the theoretical analysis.

You might also be interested in these eBooks

Advanced Materials and Processes II

Info:

Periodical:

Advanced Materials Research (Volumes 557-559)

Pages:

2081-2086

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.557-559.2081

Citation:

Cite this paper

Online since:

July 2012

Authors:

Ling Ling Sun, Yi Du Yang

Keywords:

Coupled Fluid-Solid Vibrations, Finite Element, Posteriori Error Estimate, Steklov Eigenvalue Problem

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] A. Bermudez, R. Rodriguez, D. Santamarina: Numer. Math Vol.87(2000),pp.201-227.

[2] S. Bergamann., M. Schiffer: Kernel Functions and Elliptic Differential Equations in Mathematics Physics( Academic Press, San Diego (1953)).

[3] C. Conca, J. Planchard, M. Vanninathanm: Fluid and Periodic Structures. Wiley, New York (1995)

[4] J.H. Bramble, J.E. Osborn: Foundations of the Finite Element Method with Applications to PDE,pp.387-408. (Academic Press, New York (1972)).

[5] A.B. Andreev, T.D. Todorov: IMA J. Numer. Anal. Vol. 24(2004), pp.309-322.

[6] Q. Li, Y.D. Yang: J. Appl. Math. Comput. Vol. 36(2011), pp.129-139.

[7] M.G. Armentano, C. Padra: Appl. Numer. Math. Vol.58 (2008), pp.593-601.

[8] A.D. Russo, A.E. Alonso: Comput. Math. Appl. Vol.62(2011), pp.4100-4117.

[9] M. Garau, P. Morin: IMA J. Numer. Anal. Vol.31 (2011), pp.914-946.

[10] H.d. han: Appl Math Ser A--A Journal of Chinese Universities Vol.9(2)(1994), pp.128-135.

[11] Y.D. Yang, Qin Li, S.R. Li: Appl. Numer. Math. Vol.59 (2009), pp.2388-2401.

[12] I. Babuska, J. Osborn: Eigenvalue Problems, in: Finite Element Methods(Part 1), Hand publishers, North-Holland, Amsterdam, pp.641-787.