A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q1 Finite Element Approximation of the Eigenvalue Problems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper discusses the nonconforming rotated Q1 finite element computable upper bound a posteriori error estimate of the boundary value problem established by M.
Ainsworth and obtains efficient computable upper bound a posteriori error indicators for the eigenvalue problem associated with the boundary value problem.
We extend the a posteriori error estimate to the Steklov eigenvalue problem and also derive efficient computable upper bound a posteriori error indicators.
Finally, through numerical experiments, we verify the validity of the a posteriori error estimate of the boundary value problem; meanwhile, the numerical results show that the a posteriori error indicators of the eigenvalue problem and the Steklov eigenvalue problem are effective.
American Psychological Association (APA)
Liu, Jie& Xia, Tian& Jiang, Wei. 2014. A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q1 Finite Element Approximation of the Eigenvalue Problems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-505815
Modern Language Association (MLA)
Liu, Jie…[et al.]. A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q1 Finite Element Approximation of the Eigenvalue Problems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-505815
American Medical Association (AMA)
Liu, Jie& Xia, Tian& Jiang, Wei. A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q1 Finite Element Approximation of the Eigenvalue Problems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-505815
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505815