Considerations on Double Exponential-Based Cubatures for the Computation of Weakly Singular Galerkin Inner Products
| Autor: | Juan R. Mosig, Michael Mattes, I. D. Koufogiannis, Athanasios G. Polimeridis |
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| Rok vydání: | 2012 |
| Předmět: |
Singularity
Computation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Double exponential function Basis function Electrical and Electronic Engineering Singular integral Galerkin method Integral equation Mathematics Quadrature (mathematics) |
| Zdroj: | IEEE Transactions on Antennas and Propagation. 60:2579-2582 |
| ISSN: | 1558-2221 0018-926X |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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