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    National Tsing Hua University Institutional Repository > 理學院 > 數學系 > 期刊論文 >  A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries


    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/45742


    Title: A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries
    Authors: Lai MC;Lin WW;Wang W
    教師: 林文偉
    Date: 2002
    Publisher: Oxford University Press
    Relation: Ima Journal of Numerical Analysis,Oxford University Press,Volume: 22,Issue: 4,Pages: 537-548,Published: OCT 2002
    Keywords: fast Poisson solver
    cylindrical coordinates
    spherical coordinates
    Abstract: A simple and efficient FFT-based fast direct solver for Poisson-type equations on 3D cylindrical and spherical geometries is presented. The solver relies on the truncated Fourier series expansion, where the differential equations of Fourier coefficients are solved using second-order finite difference discretizations without pole conditions. Three different boundary conditions (Dirichlet, Neumann and Robin conditions) can be handled without substantial differences.
    URI: http://www.oxfordjournals.org/
    http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/45742
    Appears in Collections:[數學系] 期刊論文

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