Numerical Investigation on Convergence Rate of Singular Boundary Method
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-09
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The singular boundary method (SBM) is a recent boundary-type collocation scheme with the merits of being free of mesh and integration, mathematically simple, and easy-to-program.
Its essential technique is to introduce the concept of the source intensity factors to eliminate the singularities of fundamental solutions upon the coincidence of source and collocation points in a strong-form formulation.
In recent years, several numerical and semianalytical techniques have been proposed to determine source intensity factors.
With the help of these latest techniques, this short communication makes an extensive investigation on numerical efficiency and convergence rates of the SBM to an extensive variety of benchmark problems in comparison with the BEM.
We find that in most cases the SBM and BEM have similar convergence rates, while the SBM has slightly better accuracy than the direct BEM.
And the condition number of SBM is lower than BEM.
Without mesh and numerical integration, the SBM is computationally more efficient than the BEM.
American Psychological Association (APA)
Li, Junpu& Chen, Wen& Fu, Zhuojia. 2016. Numerical Investigation on Convergence Rate of Singular Boundary Method. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112041
Modern Language Association (MLA)
Li, Junpu…[et al.]. Numerical Investigation on Convergence Rate of Singular Boundary Method. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1112041
American Medical Association (AMA)
Li, Junpu& Chen, Wen& Fu, Zhuojia. Numerical Investigation on Convergence Rate of Singular Boundary Method. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112041
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112041