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Algebraic cubature on planar lenses and bubbles ∗

By Gaspare Da Fies and Marco Vianello


By a recent result on subperiodic trigonometric Gaussian quadrature, we construct a cubature formula of algebraic degree of exactness n on planar circular lenses (intersection of two overlapping disks) and “double bubbles ” (union of two overlapping disks), with n 2 /2+O(n) nodes. An application is shown to RBF projection methods

Topics: algebraic cubature, subperiodic trigonometric quadrature, product Gaussian quadrature
Year: 2012
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