메뉴 건너뛰기




Volumn 25, Issue 2, 2003, Pages 442-453

A Schwarz preconditioner for the cubed-sphere

Author keywords

Cubed sphere; Semi implicit; Shallow water equations; Spectral element

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; TENSORS;

EID: 2342459074     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827502409420     Document Type: Conference Paper
Times cited : (9)

References (21)
  • 1
    • 0342390440 scopus 로고
    • Reducing communication costs in the conjugate gradient algorithm on distributed memory multiprocessors
    • University of Tennessee, Knoxville, TN
    • E. D'AZEVEDO, V. EIJKHOUT, AND C. ROMINE (1992), Reducing Communication Costs in the Conjugate Gradient Algorithm on Distributed Memory Multiprocessors, LAPACK working note 56, University of Tennessee, Knoxville, TN.
    • (1992) LAPACK Working Note , vol.56
    • D'Azevedo, E.1    Eijkhout, V.2    Romine, C.3
  • 2
    • 0040361115 scopus 로고    scopus 로고
    • The erfc-log filter and the asymptotics of the Euler and Vandeven sequence accelerations
    • J. P. BOYD (1996), The erfc-log filter and the asymptotics of the Euler and Vandeven sequence accelerations, Houston J. Math., pp. 267-276.
    • (1996) Houston J. Math. , pp. 267-276
    • Boyd, J.P.1
  • 4
    • 0000489687 scopus 로고
    • A fast Schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations
    • W. COUZY AND M. O. DEVILLE (1995), A fast Schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations, J. Comput. Phys., 116, pp. 135-142.
    • (1995) J. Comput. Phys. , vol.116 , pp. 135-142
    • Couzy, W.1    Deville, M.O.2
  • 5
    • 0003922593 scopus 로고
    • An additive variant of the Schwarz alternating method for the case of many subregions
    • Department of Computer Science, Courant Institute, New York, NY
    • M. DRYJA AND O. B. WIDLUND (1987), An Additive Variant of the Schwarz Alternating Method for the Case of Many Subregions, Technical report 339, Department of Computer Science, Courant Institute, New York, NY.
    • (1987) Technical Report , vol.339
    • Dryja, M.1    Widlund, O.B.2
  • 6
    • 0028450352 scopus 로고
    • Spectral element methods for large scale parallel Navier-Stokes calculations
    • P. F. FISCHER AND E. M. RøNQUIST (1994), Spectral element methods for large scale parallel Navier-Stokes calculations, Comput. Methods Appl. Mech. Engrg., 116, pp. 69-76.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.116 , pp. 69-76
    • Fischer, P.F.1    Rønquist, E.M.2
  • 7
    • 0041750046 scopus 로고    scopus 로고
    • An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows
    • Parallel Solution of Partial Differential Equations, Springer, New York
    • P. F. FISCHER, N. I. MILLER, AND H. M. TUFO (2000), An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows, in Parallel Solution of Partial Differential Equations, IMA Vol. Math. Appl. 120, Springer, New York, pp. 159-180.
    • (2000) IMA Vol. Math. Appl. , vol.120 , pp. 159-180
    • Fischer, P.F.1    Miller, N.I.2    Tufo, H.M.3
  • 8
    • 0028669607 scopus 로고
    • A proposal for the intercomparison of the dynamical cores of atmospheric general circulation models
    • I. H. HELD AND M. J. SUAREZ (1994), A proposal for the intercomparison of the dynamical cores of atmospheric general circulation models, Bull. Amer. Met. Soc., 75, pp. 1825-1830.
    • (1994) Bull. Amer. Met. Soc. , vol.75 , pp. 1825-1830
    • Held, I.H.1    Suarez, M.J.2
  • 9
    • 0028976599 scopus 로고
    • A staggered spectral element model with application to the oceanic shallow water equations
    • M. ISKANDARANI, D. B. HAIDVOGEL, AND J. P. BOYD (1995), A staggered spectral element model with application to the oceanic shallow water equations, Internat. J. Numer. Methods Fluids, 20, pp. 394-414.
    • (1995) Internat. J. Numer. Methods Fluids , vol.20 , pp. 394-414
    • Iskandarani, M.1    Haidvogel, D.B.2    Boyd, J.P.3
  • 10
    • 0001178530 scopus 로고
    • Spectral transform solutions to the shallow-water test set
    • R. JAKOB-CHIEN, J. J. HACK, AND D. L. WILLIAMSON (1995), Spectral transform solutions to the shallow-water test set, J. Comput. Phys., 119, pp. 164-187.
    • (1995) J. Comput. Phys. , vol.119 , pp. 164-187
    • Jakob-Chien, R.1    Hack, J.J.2    Williamson, D.L.3
  • 12
    • 34250966014 scopus 로고
    • Direct solution of partial difference equations by tensor product methods
    • R. E. LYNCH, J. R. RICE, AND D. H. THOMAS (1964), Direct solution of partial difference equations by tensor product methods, Numer. Math., 6, pp. 185-199.
    • (1964) Numer. Math. , vol.6 , pp. 185-199
    • Lynch, R.E.1    Rice, J.R.2    Thomas, D.H.3
  • 13
    • 0030452194 scopus 로고    scopus 로고
    • A global shallow-water model using an expanded spherical cube: Gnomic versus conformal coordinates
    • M. RANCIC, R. J. PURSER, AND F. MESINGER (1996), A global shallow-water model using an expanded spherical cube: Gnomic versus conformal coordinates, Q. J. R. Meteorol. Soc., 122, pp. 959-982.
    • (1996) Q. J. R. Meteorol. Soc. , vol.122 , pp. 959-982
    • Rancic, M.1    Purser, R.J.2    Mesinger, F.3
  • 14
    • 0002669826 scopus 로고
    • The integration of a spectral model of the atmosphere by the implicit method
    • Japan Meteorological Agency, Tokyo, Japan
    • A. J. ROBERT (1969), The integration of a spectral model of the atmosphere by the implicit method, in WMO/IUGG Symposium on NWP, Vol. VII, Japan Meteorological Agency, Tokyo, Japan, pp. 19-24.
    • (1969) WMO/IUGG Symposium on NWP , vol.7 , pp. 19-24
    • Robert, A.J.1
  • 16
    • 0000644762 scopus 로고
    • Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids
    • R. SADOURNY (1972), Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids, Mon. Wea. Rev., 100, pp. 136-144.
    • (1972) Mon. Wea. Rev. , vol.100 , pp. 136-144
    • Sadourny, R.1
  • 17
    • 0000372922 scopus 로고    scopus 로고
    • On forward-in-time differencing for fluids: Stopping criteria for iterative solutions of anelastic pressure equations
    • P. K. SMOLARKIEWICZ, V. GRUBISǏĆ, AND L. G. MARGOLIN (1997), On forward-in-time differencing for fluids: Stopping criteria for iterative solutions of anelastic pressure equations, Mon. Wea. Rev., 125, pp. 647-654.
    • (1997) Mon. Wea. Rev. , vol.125 , pp. 647-654
    • Smolarkiewicz, P.K.1    Grubisǐć, V.2    Margolin, L.G.3
  • 18
    • 0030640666 scopus 로고    scopus 로고
    • The spectral element method for the shallow water equations on the sphere
    • M. TAYLOR, J. TRIBBIA, AND M. ISKANDARANI (1997), The spectral element method for the shallow water equations on the sphere, J. Comput. Phys., 130, pp. 92-108.
    • (1997) J. Comput. Phys. , vol.130 , pp. 92-108
    • Taylor, M.1    Tribbia, J.2    Iskandarani, M.3
  • 19
    • 1842822222 scopus 로고    scopus 로고
    • Semi-implicit spectral element atmospheric model
    • S. J. THOMAS AND R. D. LOFT (2002), Semi-implicit spectral element atmospheric model, J. Sci. Comput., 17, pp. 339-350.
    • (2002) J. Sci. Comput. , vol.17 , pp. 339-350
    • Thomas, S.J.1    Loft, R.D.2
  • 20
    • 0026995615 scopus 로고
    • Some Schwarz methods for symmetric and nonsymmetric elliptic problems
    • D. E. Keyes, T. F. Chan, G. Meurent, J. S. Scroggs, and R. G. Voigt, eds., SIAM, Philadelphia
    • O. B. WIDLUND (1992), Some Schwarz methods for symmetric and nonsymmetric elliptic problems, in Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations, D. E. Keyes, T. F. Chan, G. Meurent, J. S. Scroggs, and R. G. Voigt, eds., SIAM, Philadelphia, pp. 19-36.
    • (1992) Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations , pp. 19-36
    • Widlund, O.B.1
  • 21
    • 0001440358 scopus 로고
    • A standard test set for numerical approximations to the shallow water equations in spherical geometry
    • D. L. WILLIAMSON, J. B. DRAKE, J. J. HACK, R. JAKOB, AND P. N. SWARZTRAUBER (1992), A standard test set for numerical approximations to the shallow water equations in spherical geometry, J. Comput. Phys., 102, pp. 211-224.
    • (1992) J. Comput. Phys. , vol.102 , pp. 211-224
    • Williamson, D.L.1    Drake, J.B.2    Hack, J.J.3    Jakob, R.4    Swarztrauber, P.N.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.