Numerical quadrature for singular integrals on fractals

We present and analyse numerical quadrature rules for evaluating regular and singular integrals on self-similar fractal sets. The integration domain Γ ⊂ R n is assumed to be the compact attractor of an iterated function system of contracting similarities satisfying the open set condition. Integratio...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 92; no. 4; pp. 2071 - 2124
Main Authors:	Gibbs, Andrew, Hewett, David, Moiola, Andrea
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2023 Springer Nature B.V
Subjects:	Acoustic waves Algebra Algorithms Approximation Computer Science Diameters Fractal analysis Fractals Galerkin method Helmholtz equations Integral equations Integrals Numeric Computing Numerical Analysis Original Paper Quadratures Self-similarity Subtraction Theory of Computation Wave scattering Singular integrals Hausdorff measure Fractals Numerical integration Boundary element method Iterated function systems
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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