Numerical quadrature for singular integrals on fractals
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11075-022-01378-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7397 |
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oai:localhost:PNK-73972023-03-31T08:26:20Z Numerical quadrature for singular integrals on fractals Andrew, Gibbs David, Hewett Andrea, Moiola regular integrals composite barycentre rule CC BY 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. 2023-03-31T08:26:20Z 2023-03-31T08:26:20Z 2023 Book https://link.springer.com/article/10.1007/s11075-022-01378-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7397 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
regular integrals composite barycentre rule |
| spellingShingle |
regular integrals composite barycentre rule Andrew, Gibbs David, Hewett Andrea, Moiola Numerical quadrature for singular integrals on fractals |
| description |
CC BY |
| format |
Book |
| author |
Andrew, Gibbs David, Hewett Andrea, Moiola |
| author_facet |
Andrew, Gibbs David, Hewett Andrea, Moiola |
| author_sort |
Andrew, Gibbs |
| title |
Numerical quadrature for singular integrals on fractals |
| title_short |
Numerical quadrature for singular integrals on fractals |
| title_full |
Numerical quadrature for singular integrals on fractals |
| title_fullStr |
Numerical quadrature for singular integrals on fractals |
| title_full_unstemmed |
Numerical quadrature for singular integrals on fractals |
| title_sort |
numerical quadrature for singular integrals on fractals |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s11075-022-01378-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7397 |
| _version_ |
1761912527530229760 |
| score |
8.893527 |