Numerical Evaluation Of High-order Singular
Boundary Integrals Using Third-degree B-spline
Basis Functions
Author(s)
Jinxiu Hu, Baojing Zheng & Xiaowei Gao
Abstract
A novel method is presented for numerical evaluation of high-order singular
boundary integrals that exist in the Cauchy principal value sense in two- and
three-dimensional problems. In this method, three-dimensional boundary
integrals are transformed into a line integral over the contour of the surface 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 achieved by expressing the non-singular parts of the
integration kernels as a series of cubic B-spline basis functions in the local
distance of the intrinsic coordinate system and using the intrinsic features of
the radial integral. Some examples are provided to verify the correctness and
robustness of the presented method.
Keywords: singular integrals, boundary element method, radial integration
method, Cauchy principal value, B-spline basis function.
Keywords
singular integrals, boundary element method, radial integration
method, Cauchy principal value, B-spline basis function
Related Book
Other papers in this volume
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