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Analyzing 3D Advection-Diffusion Problems by Using the Improved Element-Free Galerkin Method
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-14
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, the improved element-free Galerkin (IEFG) method is used for solving 3D advection-diffusion problems.
The improved moving least-squares (IMLS) approximation is used to form the trial function, the penalty method is applied to introduce the essential boundary conditions, the Galerkin weak form and the difference method are used to obtain the final discretized equations, and then the formulae of the IEFG method for 3D advection-diffusion problems are presented.
The error and the convergence are analyzed by numerical examples, and the numerical results show that the IEFG method not only has a higher computational speed but also can avoid singular matrix of the element-free Galerkin (EFG) method.
American Psychological Association (APA)
Cheng, Heng& Zheng, Guodong. 2020. Analyzing 3D Advection-Diffusion Problems by Using the Improved Element-Free Galerkin Method. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1195132
Modern Language Association (MLA)
Cheng, Heng& Zheng, Guodong. Analyzing 3D Advection-Diffusion Problems by Using the Improved Element-Free Galerkin Method. Mathematical Problems in Engineering No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1195132
American Medical Association (AMA)
Cheng, Heng& Zheng, Guodong. Analyzing 3D Advection-Diffusion Problems by Using the Improved Element-Free Galerkin Method. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1195132
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195132