Numerical evaluation of arbitrary singular domain integrals using third-degree B-spline basis functions
type: Item
instance of: scholarly article
title: Numerical evaluation of arbitrary singular domain integrals using third-degree B-spline basis functions
zbMATH Open document ID: 1407.65030
DOI: 10.1155/2014/284106
author: Jin-Xiu Hu
author: Hai-Feng Peng
author: Xiaowei Gao
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 65N38
zbMATH DE Number: 7016071
Wikidata QID: Q59065424
describes a project that uses: RIM_DOM.F90
describes a project that uses: BEMECH
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/284106
OpenAlex ID: W2149562606
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description: scientific article; zbMATH DE number 7016071