A comparison between numerical integration techniques for EFIE singular kernels

This paper presents a comparison between some integration schemes for weak singular kernels for 2D and 3D boundary element problems. A self-adaptative coordinate transformation is used in order to evaluate integrals with singularities of order O[ln (r)] for 2D harmonic problems and of order O(1/r) f...

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Bibliographic Details
Main Authors: Santiago, A. G., Trintinalia, L. C.
Format: Conference Proceeding
Language:English
Subjects:
Approximation methods
Equations
Green function
Harmonic analysis
Kernel
Steady-state
Three dimensional displays
Online Access:Request full text
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Summary:This paper presents a comparison between some integration schemes for weak singular kernels for 2D and 3D boundary element problems. A self-adaptative coordinate transformation is used in order to evaluate integrals with singularities of order O[ln (r)] for 2D harmonic problems and of order O(1/r) for 3D steady state and harmonic problems and it is compared with approximated analytical results and a domain subdivision scheme.
DOI:10.1109/IMOC.2011.6169243