Discretization error due to the identity operator in surface integral equations

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2009-10-01
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.
COMPUTER PHYSICS COMMUNICATIONS

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Citation Formats
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.