A Priori and a Posteriori Error Estimates of a WOPSIP DG Method for the Heat Equation
Joint Authors
Zeng, Yuping
Liang, Fen
Zhu, Huijian
Wen, Kun-Wen
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We introduce and analyze a weakly overpenalized symmetric interior penalty method for solving the heat equation.
We first provide optimal a priori error estimates in the energy norm for the fully discrete scheme with backward Euler time-stepping.
In addition, we apply elliptic reconstruction techniques to derive a posteriori error estimators, which can be used to design adaptive algorithms.
Finally, we present two numerical experiments to validate our theoretical analysis.
American Psychological Association (APA)
Zeng, Yuping& Wen, Kun-Wen& Liang, Fen& Zhu, Huijian. 2020. A Priori and a Posteriori Error Estimates of a WOPSIP DG Method for the Heat Equation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1198048
Modern Language Association (MLA)
Zeng, Yuping…[et al.]. A Priori and a Posteriori Error Estimates of a WOPSIP DG Method for the Heat Equation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1198048
American Medical Association (AMA)
Zeng, Yuping& Wen, Kun-Wen& Liang, Fen& Zhu, Huijian. A Priori and a Posteriori Error Estimates of a WOPSIP DG Method for the Heat Equation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1198048
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1198048
