Journal article
Considerations on Double Exponential-Based Cubatures for the Computation of Weakly Singular Galerkin Inner Products
Lab. of Electromagn. & Acoust. (LEMA), Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland1
Highly accurate and efficient cubatures based on the double exponential quadrature rules are presented for the computation of weakly singular integrals arising in Galerkin mixed potential integral equation formulations. Due to their unique ability to handle non-smooth kernels, the proposed integration schemes can safely replace (in a “plug-n-play” sense) the traditional Gauss-Legendre rules in the existing singularity cancellation and singularity subtraction methods.
Numerical examples using RWG basis functions confirm the excellent performance of the proposed method.
Language: | English |
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Publisher: | IEEE |
Year: | 2012 |
Pages: | 2579-2582 |
ISSN: | 15582221 and 0018926x |
Types: | Journal article |
DOI: | 10.1109/TAP.2012.2189708 |
Accuracy Antennas Double exponential quadrature Electric potential Electromagnetic scattering Galerkin method Gauss-Legendre rules Integral equations Kernel Moment methods RWG basis functions computational electromagnetics double exponential based cubatures double exponential quadrature rules electromagnetic wave scattering integral equation formulations integral equations method of moments (MoM) mixed potential integral equation (MPIE) nonsmooth kernels singularity cancellation singularity subtraction weakly singular Galerkin inner products weakly singular integrals