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The Time Discontinuous H 1 -Galerkin Mixed Finite Element Method for Linear Sobolev Equations
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We combine the H 1 -Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations.
The advantages of these two methods are fully utilized.
The approximate schemes are established to get the approximate solutions by a piecewise polynomial of degree at most q - 1 with the time variable.
The existence and uniqueness of the solutions are proved, and the optimal H 1 -norm error estimates are derived.
We get high accuracy for both the space and time variables.
American Psychological Association (APA)
Yu, Hong& Sun, Tongjun& Li, Na. 2015. The Time Discontinuous H 1 -Galerkin Mixed Finite Element Method for Linear Sobolev Equations. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060703
Modern Language Association (MLA)
Yu, Hong…[et al.]. The Time Discontinuous H 1 -Galerkin Mixed Finite Element Method for Linear Sobolev Equations. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1060703
American Medical Association (AMA)
Yu, Hong& Sun, Tongjun& Li, Na. The Time Discontinuous H 1 -Galerkin Mixed Finite Element Method for Linear Sobolev Equations. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060703
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060703