A Time Discontinuous Galerkin Finite Element Method for Quasi-Linear Sobolev Equations
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We present a time discontinuous Galerkin finite element scheme for quasi-linear Sobolev equations.
The approximate solution is sought as a piecewise polynomial of degree in time variable at most q - 1 with coefficients in finite element space.
This piecewise polynomial is not necessarily continuous at the nodes of the partition for the time interval.
The existence and uniqueness of the approximate solution are proved by use of Brouwer’s fixed point theorem.
An optimal L ∞ ( 0 , T ; H 1 ( Ω ) ) -norm error estimate is derived.
Just because of a damping term u x x t included in quasi-linear Sobolev equations, which is the distinct character different from parabolic equation, more attentions are paid to this term in the study.
This is the significance of this paper.
American Psychological Association (APA)
Yu, Hong& Sun, Tongjun. 2015. A Time Discontinuous Galerkin Finite Element Method for Quasi-Linear Sobolev Equations. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1060845
Modern Language Association (MLA)
Yu, Hong& Sun, Tongjun. A Time Discontinuous Galerkin Finite Element Method for Quasi-Linear Sobolev Equations. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1060845
American Medical Association (AMA)
Yu, Hong& Sun, Tongjun. A Time Discontinuous Galerkin Finite Element Method for Quasi-Linear Sobolev Equations. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1060845
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060845