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- W2118537862 abstract "Abstract. Boundary Integral Equation formulations can be used to describe electromagnetic shielding problems. Yet, this approach frequently leads to integrals which contain a singularity and an oscillating part. Those integrals are difficult to handle when integrated naivly using standard integration techniques, and in some cases even a very high number of integration nodes will not lead to precise results. We present a method for the numerical quadrature of an integral with a logarithmic singularity and a cosine oscillator: a modified Filon-Lobatto quadrature for the oscillating parts and an integral transformation based on the error function for the singularity. Since this integral can be solved analytically, we are in a position to verify the results of our investigations, with a focus on precision and computation time." @default.
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- W2118537862 date "2006-09-04" @default.
- W2118537862 modified "2023-10-03" @default.
- W2118537862 title "Numerical quadrature for the approximation of singular oscillating integrals appearing in boundary integral equations" @default.
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- W2118537862 doi "https://doi.org/10.5194/ars-4-11-2006" @default.
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