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The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations
Joint Authors
Zhang, Rongpei
Liu, Jia
Jiang, Shaohua
Wang, Di
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we propose the local discontinuous Galerkin method based on the generalized alternating numerical flux for solving the one-dimensional second-order wave equation with the periodic boundary conditions.
Introducing two auxiliary variables, the second-order equation is rewritten into the first-order equation systems.
We prove the stability and energy conservation of this method.
By virtue of the generalized Gauss–Radau projection, we can obtain the optimal convergence order in L2-norm of Ohk+1 with polynomial of degree k and grid size h.
Numerical experiments are given to verify the theoretical results.
American Psychological Association (APA)
Zhang, Rongpei& Liu, Jia& Jiang, Shaohua& Wang, Di. 2020. The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations. Complexity،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1144343
Modern Language Association (MLA)
Zhang, Rongpei…[et al.]. The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations. Complexity No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1144343
American Medical Association (AMA)
Zhang, Rongpei& Liu, Jia& Jiang, Shaohua& Wang, Di. The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations. Complexity. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1144343
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144343