메뉴 건너뛰기




Volumn 9, Issue 3, 2011, Pages 649-667

An FFT based fast poisson solver on spherical shells

Author keywords

Bernoulli numbers; Error estimate; Euler Maclaurin formula; Fast diagonalization; FFT; High order accuracy; Poisson equation; Spectral finite difference method; Spherical coordinate; Trapezoidal rule

Indexed keywords


EID: 79551552794     PISSN: 18152406     EISSN: 19917120     Source Type: Journal    
DOI: 10.4208/cicp.060509.080609s     Document Type: Article
Times cited : (3)

References (17)
  • 1
    • 35348908359 scopus 로고    scopus 로고
    • Spectral solvers for spherical elliptic problems
    • F. Auteri and L. Quartapelle, Spectral solvers for spherical elliptic problems, J. Comput. Phys., 227 (2007), 36-54.
    • (2007) J. Comput. Phys. , vol.227 , pp. 36-54
    • Auteri, F.1    Quartapelle, L.2
  • 2
    • 0002924728 scopus 로고
    • Stable and accurate boundary treatments for compact, high-order finite difference schemes
    • M. H. Carpenter, D. Gottlieb and S. Abarbanel, Stable and accurate boundary treatments for compact, high-order finite difference schemes, Appl. Numer. Math., 12(1-3) (1993), 55-87.
    • (1993) Appl. Numer. Math. , vol.12 , Issue.1-3 , pp. 55-87
    • Carpenter, M.H.1    Gottlieb, D.2    Abarbanel, S.3
  • 3
    • 0030171562 scopus 로고    scopus 로고
    • Essentially compact schemes for unsteady viscous incompressible flows
    • W. E and J.-G. Liu, Essentially compact schemes for unsteady viscous incompressible flows, J. Comput. Phys., 126 (1996), 122-138.
    • (1996) J. Comput. Phys. , vol.126 , pp. 122-138
    • Liu, J.-G.1
  • 5
    • 0029480581 scopus 로고
    • A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle
    • G. A. Glatzmaier and P. H. Roberts, A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle, Int. Phys. Earth. Planet., 91 (1995), 63-75.
    • (1995) Int. Phys. Earth. Planet. , vol.91 , pp. 63-75
    • Glatzmaier, G.A.1    Roberts, P.H.2
  • 8
    • 0029106259 scopus 로고
    • A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations
    • M. Li, T. Tang and B. Fornberg, A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations, Int. J. Numer. Method. Fluids., 20 (1995), 1137-1151.
    • (1995) Int. J. Numer. Method. Fluids. , vol.20 , pp. 1137-1151
    • Li, M.1    Tang, T.2    Fornberg, B.3
  • 9
    • 0002529738 scopus 로고
    • Fourier series on spheres
    • S. Orszag, fourier series on spheres, Weather. Rev., 102 (1974), 56-75.
    • (1974) Weather. Rev. , vol.102 , pp. 56-75
    • Orszag, S.1
  • 11
    • 0030096121 scopus 로고    scopus 로고
    • The "Cubed sphere": A new method for the solution of partial differential equations in spherical geometry
    • C. Ronchi, R. Iacono and P. S. Paolucci, The "cubed sphere": A new method for the solution of partial differential equations in spherical geometry, J. Comput. Phys., 124 (1996), 93-114.
    • (1996) J. Comput. Phys. , vol.124 , pp. 93-114
    • Ronchi, C.1    Iacono, R.2    Paolucci, P.S.3
  • 12
    • 0033279023 scopus 로고    scopus 로고
    • Efficient spectral-Galerkin methods IV spherical geometries
    • J. Shen, Efficient spectral-Galerkin methods IV, spherical geometries, SIAM J. Sci. Comput., 20 (1999), 1438-1455.
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1438-1455
    • Shen, J.1
  • 14
    • 0033618580 scopus 로고    scopus 로고
    • Spectral methods for the simulation of incompressible flows in spherical shells
    • A. Tilgner, Spectral methods for the simulation of incompressible flows in spherical shells, Int. J. Numer. Method. Fluids., 30 (1999), 713-724.
    • (1999) Int. J. Numer. Method. Fluids. , vol.30 , pp. 713-724
    • Tilgner, A.1
  • 15
    • 34047133276 scopus 로고    scopus 로고
    • Computing nonlinear force-free coronal magnetic fields in spherical geometry
    • T. Wiegelmann, Computing nonlinear force-free coronal magnetic fields in spherical geometry, Solar. Phys., 240 (2007), 227-239.
    • (2007) Solar. Phys. , vol.240 , pp. 227-239
    • Wiegelmann, T.1
  • 16
    • 0019657418 scopus 로고
    • Solution of Poisson's equation on a sphere by truncated double fourier series
    • S. Y. K. Yee, Solution of Poisson's equation on a sphere by truncated double fourier series, Month. Weather. Rev., 109 (1981), 501-505.
    • (1981) Month. Weather. Rev. , vol.109 , pp. 501-505
    • Yee, S.Y.K.1
  • 17
    • 6044260067 scopus 로고    scopus 로고
    • Application of the Yin-Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell
    • M. Yoshida and A. Kageyama, Application of the Yin-Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell, Geophys. Res. Lett., 31 (2004), L12609.
    • (2004) Geophys. Res. Lett. , vol.31
    • Yoshida, M.1    Kageyama, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.