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Discretization error due to the identity operator in surface integral equations
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Date
2009-10-01
Author
Ergül, Özgür Salih
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We consider the accuracy of surface integral equations for the solution of scattering and radiation problems in electromagnetics. In numerical solutions, second-kind integral equations involving well-tested identity operators are preferable for efficiency, because they produce diagonally-dominant matrix equations that can be solved easily with iterative methods. However, the existence of the well-tested identity operators leads to inaccurate results, especially when the equations are discretized with low-order basis functions, such as the Rao-Wilton-Glisson functions. By performing a computational experiment based on the nonradiating property of the tangential incident fields on arbitrary surfaces, we show that the discretization error of the identity operator is a major error source that contaminates the accuracy of the second-kind integral equations significantly.
Subject Keywords
Hardware and Architecture
,
General Physics and Astronomy
URI
https://hdl.handle.net/11511/37755
Journal
COMPUTER PHYSICS COMMUNICATIONS
DOI
https://doi.org/10.1016/j.cpc.2009.04.020
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Department of Electrical and Electronics Engineering, Article
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Ö. S. Ergül, “Discretization error due to the identity operator in surface integral equations,”
COMPUTER PHYSICS COMMUNICATIONS
, pp. 1746–1752, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37755.