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Variational Multiscale Element Free Galerkin Method Coupled with Low-Pass Filter for Burgers’ Equation with Small Diffusion
Joint Authors
Zhang, Ping
Song, Laizhong
Zhang, Xiaohua
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-29
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Variational multiscale element free Galerkin (VMEFG) method is applied to Burgers’ equation.
It can be found that, for the very small diffusivity coefficients, VMEFG method still suffers from instability in the presence of boundary or interior layers.
In order to overcome this problem, the high order low-pass filter is used to smooth the solution.
Three test examples with very small diffusion are presented and the solutions obtained are compared with exact solutions and some other numerical methods.
The numerical results are found in which the VMEFG coupled with low-pass filter works very well for Burgers’ equation with very small diffusivity coefficients.
American Psychological Association (APA)
Zhang, Ping& Zhang, Xiaohua& Song, Laizhong. 2016. Variational Multiscale Element Free Galerkin Method Coupled with Low-Pass Filter for Burgers’ Equation with Small Diffusion. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1095772
Modern Language Association (MLA)
Zhang, Ping…[et al.]. Variational Multiscale Element Free Galerkin Method Coupled with Low-Pass Filter for Burgers’ Equation with Small Diffusion. Advances in Mathematical Physics No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1095772
American Medical Association (AMA)
Zhang, Ping& Zhang, Xiaohua& Song, Laizhong. Variational Multiscale Element Free Galerkin Method Coupled with Low-Pass Filter for Burgers’ Equation with Small Diffusion. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1095772
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095772