Bubble-Enriched Least-Squares Finite Element Method for Transient Advective Transport
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-10-12
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The least-squares finite element method (LSFEM) has received increasing attention in recent years due to advantages over the Galerkin finite element method (GFEM).
The method leads to a minimization problem in the L2-norm and thus results in a symmetric and positive definite matrix, even for first-order differential equations.
In addition, the method contains an implicit streamline upwinding mechanism that prevents the appearance of oscillations that are characteristic of the Galerkin method.
Thus, the least-squares approach does not require explicit stabilization and the associated stabilization parameters required by the Galerkin method.
A new approach, the bubble enriched least-squares finite element method (BELSFEM), is presented and compared with the classical LSFEM.
The BELSFEM requires a space-time element formulation and employs bubble functions in space and time to increase the accuracy of the finite element solution without degrading computational performance.
We apply the BELSFEM and classical least-squares finite element methods to benchmark problems for 1D and 2D linear transport.
The accuracy and performance are compared.
American Psychological Association (APA)
Kumar, Rajeev& Dennis, Brian H.. 2008. Bubble-Enriched Least-Squares Finite Element Method for Transient Advective Transport. International Journal of Differential Equations،Vol. 2008, no. 2008, pp.1-21.
https://search.emarefa.net/detail/BIM-1027041
Modern Language Association (MLA)
Kumar, Rajeev& Dennis, Brian H.. Bubble-Enriched Least-Squares Finite Element Method for Transient Advective Transport. International Journal of Differential Equations No. 2008 (2008), pp.1-21.
https://search.emarefa.net/detail/BIM-1027041
American Medical Association (AMA)
Kumar, Rajeev& Dennis, Brian H.. Bubble-Enriched Least-Squares Finite Element Method for Transient Advective Transport. International Journal of Differential Equations. 2008. Vol. 2008, no. 2008, pp.1-21.
https://search.emarefa.net/detail/BIM-1027041
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1027041