论文标题
忽略正规奇异或几乎单数积分中的离散化校正
Neglecting discretization corrections in regularized singular or nearly singular integrals
论文作者
论文摘要
J. T. Beale，W。Ying和J. R. Wilson [Comm。计算。物理。 20（2016），733--753，arxiv：1508.00265]，并应用于谐波功能的单层和双层电位。它使用正规化内核，直接的正交规则以及添加的校正，用于平滑和离散错误。在本说明中，我们给出了离散化校正的估计，这些校正表明它们可以通过正确选择数值参数而合理地忽略它们。
A method for computing singular or nearly singular integrals on closed surfaces was presented by J. T. Beale, W. Ying, and J. R. Wilson [Comm. Comput. Phys. 20 (2016), 733--753, arXiv:1508.00265] and applied to single and double layer potentials for harmonic functions. It uses regularized kernels, a straightforward quadrature rule, and corrections added for smoothing and discretization errors. In this note we give estimates for the discretization corrections which show that they can reasonably be neglected with proper choice of numerical parameters.
