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Evaluation of Hypersingular Integrals on Non-planar Surfaces
Date
2014-05-16
Author
Selcuk, Gokhun
Koç, Seyit Sencer
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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Solving electric field integral equation (EFIE) with Nystrom method requires accurate evaluation of hypersingular surface integrals since this method does not use divergence conforming basis and testing functions. The success of the method also depends on accurate representation of non-planar characteristics of the scattering object. In this study Hadamard finite part interpretation is used to evaluate hypersingular integrals over non-planar surfaces, which are represented by their Taylor series expansions. Numerical tests are conducted to show the effectiveness of the formulas. Also a scattering problem is solved which confirms the accuracy.
Subject Keywords
EFIE
,
Nystrom method
,
Hypersingular integral
,
Hadamard finite part
URI
https://hdl.handle.net/11511/54887
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar