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Volumn 40, Issue , 2005, Pages 35-49

Hybrid Schwarz-multigrid methods for the spectral element method: Extensions to Navier-Stokes

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITION METHODS; INVERSE PROBLEMS; POISSON EQUATION;

EID: 20044380286     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/3-540-26825-1_3     Document Type: Article
Times cited : (41)

References (23)
  • 1
    • 0038042421 scopus 로고    scopus 로고
    • Multigrid solver for the inner problem in domain decomposition methods for p-fem
    • S. Beuchler. Multigrid solver for the inner problem in domain decomposition methods for p-fem. SIAM J. Numer. Anal., 40:928-944, 2002.
    • (2002) SIAM J. Numer. Anal , vol.40 , pp. 928-944
    • Beuchler, S.1
  • 2
    • 0000997330 scopus 로고    scopus 로고
    • Quasi-optimal Schwarz methods for the conforming spectral element discretization
    • M. A. Casarin. Quasi-optimal Schwarz methods for the conforming spectral element discretization. SIAM J. Numer. Anal., 34:2482-2502, 1997.
    • (1997) SIAM J. Numer. Anal , vol.34 , pp. 2482-2502
    • Casarin, M.A.1
  • 5
    • 0003922593 scopus 로고
    • An additive variant of the Schwarz alternating method for the case of many subregions
    • Courant Inst., NYU, Dept. Comp. Sci
    • M. Dryja and O. B. Widlund. An additive variant of the Schwarz alternating method for the case of many subregions. Technical Report TR 339, Courant Inst., NYU, 1987. Dept. Comp. Sci.
    • (1987) Technical Report TR , vol.339
    • Dryja, M.1    Widlund, O.B.2
  • 6
    • 0031145109 scopus 로고    scopus 로고
    • An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
    • P. F. Fischer. An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations. J. Comput. Phys., 133:84-101, 1997.
    • (1997) J. Comput. Phys , vol.133 , pp. 84-101
    • Fischer, P.F.1
  • 7
    • 0039776178 scopus 로고    scopus 로고
    • Projection techniques for iterative solution of Ax = b with successive right-hand sides
    • P. F. Fischer. Projection techniques for iterative solution of Ax = b with successive right-hand sides. Comput. Methods Appl. Mech. Engrg., 163: 193-204, 1998.
    • (1998) Comput. Methods Appl. Mech. Engrg , vol.163 , pp. 193-204
    • Fischer, P.F.1
  • 8
    • 0041750046 scopus 로고    scopus 로고
    • An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows
    • P. Bjørstad and M. Luskin, editors, Berlin, Springer
    • P. F. Fischer, N. I. Miller, and H. M. Tufo. An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows. In P. Bjørstad and M. Luskin, editors, Parallel Solution of Partial Differential Equations, pages 158-180, Berlin, 2000. Springer.
    • (2000) Parallel Solution of Partial Differential Equations , pp. 158-180
    • Fischer, P.F.1    Miller, N.I.2    Tufo, H.M.3
  • 9
    • 0035322534 scopus 로고    scopus 로고
    • An algebraic convergence theory for restricted additive Schwarz methods using weighted max norms
    • A Frommer and D. B. Szyld. An algebraic convergence theory for restricted additive Schwarz methods using weighted max norms. SIAM Journal on Numerical Analysis, 39:463-479, 2001.
    • (2001) SIAM Journal On Numerical Analysis , vol.39 , pp. 463-479
    • Frommer, A.1    Szyld, D.B.2
  • 10
    • 30744476704 scopus 로고    scopus 로고
    • Hybrid multigrid/Schwarz algorithms for the spectral element method
    • (to appear)
    • J. W. Lottes and P. F. Fischer. Hybrid multigrid/Schwarz algorithms for the spectral element method. J. Sci. Comput., (to appear), 2004.
    • (2004) J. Sci. Comput
    • Lottes, J.W.1    Fischer, P.F.2
  • 11
    • 34250966014 scopus 로고
    • Direct solution of partial difference equations by tensor product methods
    • R. E. Lynch, J. R. Rice, and D. H. Thomas. Direct solution of partial difference equations by tensor product methods. Numer. Math., 6:185-199, 1964.
    • (1964) Numer. Math , vol.6 , pp. 185-199
    • Lynch, R.E.1    Rice, J.R.2    Thomas, D.H.3
  • 12
    • 11744328768 scopus 로고
    • Spectral element multigrid: Numerical analysis
    • Y. Maday and R. Muñoz. Spectral element multigrid: Numerical analysis. J. Sci. Comput., 3:323-354, 1988.
    • (1988) J. Sci. Comput , vol.3 , pp. 323-354
    • Maday, Y.1    Muñoz, R.2
  • 14
    • 0024917277 scopus 로고
    • Spectral element methods for the Navier-Stokes equations
    • A. K. Noor and J. T. Oden, editors, ASME, New York
    • Y. Maday and A. T. Patera. Spectral element methods for the Navier-Stokes equations. In A. K. Noor and J. T. Oden, editors, State-of-the-Art Surveys in Computational Mechanics, pages 71-143. ASME, New York, 1989.
    • (1989) State-of-the-Art Surveys In Computational Mechanics , pp. 71-143
    • Maday, Y.1    Patera, A.T.2
  • 15
    • 0025532444 scopus 로고
    • An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
    • Y. Maday, A. T. Patera, and E. M. Rønquist. An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. J. Sci. Comput., 5:263-292, 1990.
    • (1990) J. Sci. Comput , vol.5 , pp. 263-292
    • Maday, Y.1    Patera, A.T.2    Rønquist, E.M.3
  • 16
    • 85013126603 scopus 로고
    • Spectral methods for problems in complex geometry
    • S. A. Orszag. Spectral methods for problems in complex geometry. J. Comput. Phys., 37:70-92, 1980.
    • (1980) J. Comput. Phys , vol.37 , pp. 70-92
    • Orszag, S.A.1
  • 18
    • 0002615718 scopus 로고
    • An analysis of the fractional step method
    • J. B. Perot. An analysis of the fractional step method. J. Comp. Phys., 108: 51-58, 1993.
    • (1993) J. Comp. Phys , vol.108 , pp. 51-58
    • Perot, J.B.1
  • 20
    • 0000784858 scopus 로고
    • Spectral element multigrid, I:. Formulation and numerical results
    • E. M. Rønquist and A. T. Patera. Spectral element multigrid, I:. Formulation and numerical results. J. Sci. Comput., 2:389-406, 1987.
    • (1987) J. Sci. Comput , vol.2 , pp. 389-406
    • Rønquist, E.M.1    Patera, A.T.2
  • 21
    • 0002043336 scopus 로고    scopus 로고
    • Efficient Chebyshev-Legendre Galerkin methods for elliptic problems
    • A. V. Ilin and L. R. Scott, editors, Houston Journal of Mathematics
    • J. E. Shen. Efficient Chebyshev-Legendre Galerkin methods for elliptic problems. In A. V. Ilin and L. R. Scott, editors, Third Int. Conference on Spectral and High Order Methods, pages 233-239. Houston Journal of Mathematics, 1996.
    • (1996) Third Int. Conference On Spectral and High Order Methods , pp. 233-239
    • Shen, J.E.1
  • 22
    • 0034190393 scopus 로고    scopus 로고
    • A finite element multigrid preconditioner for Chebyshev-collocation methods
    • J. E. Shen, F. Wang, and J. Xu. A finite element multigrid preconditioner for Chebyshev-collocation methods. Appl. Numer. Math., 33:471-477, 2000.
    • (2000) Appl. Numer. Math , vol.33 , pp. 471-477
    • Shen, J.E.1    Wang, F.2    Xu, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.