Numerical evaluation of arbitrary singular domain integrals based on radial integration method

In this paper, a new approach is presented for the numerical evaluation of arbitrary singular domain integrals based on the radial integration method. The transformation from domain integrals to boundary integrals and the analytical elimination of singularities can be accomplished by expressing the...

Full description

Saved in:
Bibliographic Details
Published in:Engineering analysis with boundary elements 2011-03, Vol.35 (3), p.587-593
Main Authors: Gao, Xiao-Wei, Peng, Hai-Feng
Format: Article
Language:English
Subjects:
Boundaries
Boundary element method
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Global distance
Integral transforms, operational calculus
Integrals
Mathematical analysis
Mathematical models
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Physics
Polynomials
Radial integration
Robustness
Sciences and techniques of general use
Singular domain integrals
Singularities
Transformations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, a new approach is presented for the numerical evaluation of arbitrary singular domain integrals based on the radial integration method. The transformation from domain integrals to boundary integrals and the analytical elimination of singularities can be accomplished by expressing the non-singular part of the integration kernels as polynomials 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. Some numerical examples are provided to verify the correctness and robustness of the presented method.
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2010.06.023