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Numerical quadrature for singular integrals on fractals

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Bibliographic Details
Main Authors: Andrew, Gibbs, David, Hewett, Andrea, Moiola
Format: Book
Language:English
Published: Springer 2023
Subjects:
regular integrals
composite barycentre rule
Online Access:https://link.springer.com/article/10.1007/s11075-022-01378-9
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7397
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spelling 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 8.887836

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