Numerical quadrature for the approximation of singular oscillating integrals appearing in boundary integral equations
| Autor: | L. O. Fichte, S. Lange, M. Clemens |
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| Jazyk: | German<br />English |
| Rok vydání: | 2006 |
| Předmět: | |
| Zdroj: | Advances in Radio Science, Vol 4, Pp 11-15 (2006) |
| Druh dokumentu: | article |
| ISSN: | 1684-9965 1684-9973 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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