Numerical Evaluation of Arbitrary Singular Domain Integrals Using Third-Degree B-Spline Basis Functions
Joint Authors
Gao, Xiao-wei
Hu, Jin-Xiu
Peng, Hai-Feng
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-17
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A new approach is presented for the numerical evaluation of arbitrary singular domain integrals.
In this method, singular domain integrals are transformed into a boundary integral and a radial integral which contains singularities by using the radial integration method.
The analytical elimination of singularities condensed in the radial integral formulas can be accomplished by expressing the nonsingular part of the integration kernels as a series of cubic B-spline basis functions of the distance r and using the intrinsic features of the radial integral.
In the proposed method, singularities involved in the domain integrals are explicitly transformed to the boundary integrals, so no singularities exist at internal points.
A few numerical examples are provided to verify the correctness and robustness of the presented method.
American Psychological Association (APA)
Hu, Jin-Xiu& Peng, Hai-Feng& Gao, Xiao-wei. 2014. Numerical Evaluation of Arbitrary Singular Domain Integrals Using Third-Degree B-Spline Basis Functions. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044143
Modern Language Association (MLA)
Hu, Jin-Xiu…[et al.]. Numerical Evaluation of Arbitrary Singular Domain Integrals Using Third-Degree B-Spline Basis Functions. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1044143
American Medical Association (AMA)
Hu, Jin-Xiu& Peng, Hai-Feng& Gao, Xiao-wei. Numerical Evaluation of Arbitrary Singular Domain Integrals Using Third-Degree B-Spline Basis Functions. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044143
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044143