Item Infomation
Title: | Numerical quadrature for singular integrals on fractals |
Authors: | Andrew, Gibbs David, Hewett Andrea, Moiola |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | For the evaluation of these regular integrals, we adopt a composite barycentre rule, which for sufficiently regular integrands exhibits second-order convergence with respect to the maximum diameter of the subsets. As an application we show how this approach, combined with a singularity-subtraction technique, can be used to accurately evaluate the singular double integrals that arise in Hausdorff-measure Galerkin boundary element methods for acoustic wave scattering by fractal screens. |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s11075-022-01378-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7397 |
Appears in Collections | OER - Công nghệ thông tin |
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