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A Mixed Discontinuous Galerkin Method for the Helmholtz Equation
Joint Authors
Hu, Qingjie
Li, Tingting
Wen, Jing
He, Yin Nian
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we introduce and analyze a mixed discontinuous Galerkin method for the Helmholtz equation.
The mixed discontinuous Galerkin method is designed by using a discontinuous Pp+1−1−Pp−1 finite element pair for the flux variable and the scattered field with p≥0.
We can get optimal order convergence for the flux variable in both Hdiv-like norm and L2 norm and the scattered field in L2 norm numerically.
Moreover, we conduct the numerical experiments on the Helmholtz equation with perturbation and the rectangular waveguide, which also demonstrate the good performance of the mixed discontinuous Galerkin method.
American Psychological Association (APA)
Hu, Qingjie& He, Yin Nian& Li, Tingting& Wen, Jing. 2020. A Mixed Discontinuous Galerkin Method for the Helmholtz Equation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1202354
Modern Language Association (MLA)
Hu, Qingjie…[et al.]. A Mixed Discontinuous Galerkin Method for the Helmholtz Equation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1202354
American Medical Association (AMA)
Hu, Qingjie& He, Yin Nian& Li, Tingting& Wen, Jing. A Mixed Discontinuous Galerkin Method for the Helmholtz Equation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1202354
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1202354