Discretization error due to the identity operator in surface integral equations
Computer Physics Communications
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Ergül, Ö., & Gürel, L. (2009). Discretization error due to the identity operator in surface integral equations. Computer Physics Communications, 180(10), 1746-1752.
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/11775
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 welltested 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. © 2009 Elsevier B.V. All rights reserved