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Local Projection-Based Stabilized Mixed Finite Element Methods for Kirchhoff Plate Bending Problems
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Based on stress-deflection variational formulation, we propose a family of local projection-based stabilized mixed finite element methods for Kirchhoff plate bending problems.
According to the error equations, we obtain the error estimates of the approximation to stress tensor in energy norm.
And by duality argument, error estimates of the approximation to deflection in H1-norm are achieved.
Then we design an a posteriori error estimator which is closely related to the equilibrium equation, constitutive equation, and nonconformity of the finite element spaces.
With the help of Zienkiewicz-Guzmán-Neilan element spaces, we prove the reliability of the a posteriori error estimator.
And the efficiency of the a posteriori error estimator is proved by standard bubble function argument.
American Psychological Association (APA)
Huang, Xuehai. 2013. Local Projection-Based Stabilized Mixed Finite Element Methods for Kirchhoff Plate Bending Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-478473
Modern Language Association (MLA)
Huang, Xuehai. Local Projection-Based Stabilized Mixed Finite Element Methods for Kirchhoff Plate Bending Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-478473
American Medical Association (AMA)
Huang, Xuehai. Local Projection-Based Stabilized Mixed Finite Element Methods for Kirchhoff Plate Bending Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-478473
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478473