메뉴 건너뛰기




Volumn 204, Issue 2, 2005, Pages 520-532

Algebraic multigrid for higher-order finite elements

Author keywords

Algebraic multigrid; Finite elements; Higher order; Multigrid; Poisson; Stokes

Indexed keywords

ALGEBRA; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; ITERATIVE METHODS; POISSON EQUATION;

EID: 15944403194     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.10.021     Document Type: Article
Times cited : (69)

References (30)
  • 1
    • 84966233568 scopus 로고
    • Multi-level adaptive solutions to boundary value problems
    • A. Brandt Multi-level adaptive solutions to boundary value problems Math. Comput. 31 1977 333-390
    • (1977) Math. Comput. , vol.31 , pp. 333-390
    • Brandt, A.1
  • 2
    • 0003815501 scopus 로고
    • Multigrid Methods and Applications
    • Berlin: Springer
    • W. Hackbusch Multigrid Methods and Applications Computational Mathematics vol. 4 1985 Springer Berlin
    • (1985) Computational Mathematics , vol.4
    • Hackbusch, W.1
  • 3
    • 0022918065 scopus 로고
    • Iterative methods for the solution of elliptic problems on regions partitioned in substructures
    • P. Bjørstad O. Widlund Iterative methods for the solution of elliptic problems on regions partitioned in substructures SIAM J. Numer. Anal. 23 6 1986 1097-1120
    • (1986) SIAM J. Numer. Anal. , vol.23 , Issue.6 , pp. 1097-1120
    • Bjørstad, P.1    Widlund, O.2
  • 6
    • 0028753150 scopus 로고
    • Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions
    • M. Dryja B. Smith O. Widlund Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions SIAM J. Numer. Anal. 31 1994 1662-1694
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1662-1694
    • Dryja, M.1    Smith, B.2    Widlund, O.3
  • 7
    • 0000337361 scopus 로고    scopus 로고
    • A polylogarithmic bound for an iterative substructuring method for spectral element in three dimensions
    • L. Pavarino O. Widlund A polylogarithmic bound for an iterative substructuring method for spectral element in three dimensions SIAM J. Numer. Anal. 33 1996 1303-1335
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1303-1335
    • Pavarino, L.1    Widlund, O.2
  • 8
    • 0025416211 scopus 로고
    • Two-level domain decomposition preconditioning for the p-version finite element method in three dimensions
    • J. Mandel Two-level domain decomposition preconditioning for the p-version finite element method in three dimensions Int. J. Numer. Meth. Eng. 29 1990 1095-1108
    • (1990) Int. J. Numer. Meth. Eng. , vol.29 , pp. 1095-1108
    • Mandel, J.1
  • 9
    • 0028450352 scopus 로고
    • Spectral element methods for large-scale parallel Navier-Stokes calculations
    • P. Fischer E. Ronquist Spectral element methods for large-scale parallel Navier-Stokes calculations Comput. Meth. Appl. Mech. Eng. 116 1994 69-76
    • (1994) Comput. Meth. Appl. Mech. Eng. , vol.116 , pp. 69-76
    • Fischer, P.1    Ronquist, E.2
  • 10
    • 0031145109 scopus 로고    scopus 로고
    • An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
    • P. Fischer An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations J. Comput. Phys. 133 1997 84-101
    • (1997) J. Comput. Phys. , vol.133 , pp. 84-101
    • Fischer, P.1
  • 11
    • 0006606983 scopus 로고    scopus 로고
    • Fast parallel direct sovers for coarse grid problems
    • H. Tufo P. Fischer Fast parallel direct sovers for coarse grid problems J. Parallel Distr. Comput. 61 2001 151-177
    • (2001) J. Parallel Distr. Comput. , vol.61 , pp. 151-177
    • Tufo, H.1    Fischer, P.2
  • 12
    • 85190245149 scopus 로고    scopus 로고
    • Hybrid multigrid/Schwarz algorithms for the spectral element method
    • to appear
    • J. Lottes, P. Fischer, Hybrid multigrid/Schwarz algorithms for the spectral element method, J. Sci. Comp. (to appear)
    • J. Sci. Comp.
    • Lottes, J.1    Fischer, P.2
  • 14
    • 0000784858 scopus 로고
    • Spectral element multigrid. I. formulation and numerical results
    • E. Rønquist A. Patera Spectral element multigrid. I. formulation and numerical results J. Sci. Comp. 2 1987 389-406
    • (1987) J. Sci. Comp. , vol.2 , pp. 389-406
    • Rønquist, E.1    Patera, A.2
  • 16
    • 85013126603 scopus 로고
    • Spectral methods for problems in complex geometries
    • S. Orszag Spectral methods for problems in complex geometries J. Comput. Phys. 37 1980 70-92
    • (1980) J. Comput. Phys. , vol.37 , pp. 70-92
    • Orszag, S.1
  • 17
    • 0001194652 scopus 로고
    • Cheybshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
    • M. Deville E. Mund Cheybshev pseudospectral solution of second-order elliptic equations with finite element preconditioning J. Comput. Phys. 60 1985 517-522
    • (1985) J. Comput. Phys. , vol.60 , pp. 517-522
    • Deville, M.1    Mund, E.2
  • 18
    • 0000464822 scopus 로고
    • Finite-element preconditioning for pseudospectral solutions of elliptic problems
    • M. Deville E. Mund Finite-element preconditioning for pseudospectral solutions of elliptic problems SIAM J. Sci. Stat. Comput. 11 1990 311-342
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 311-342
    • Deville, M.1    Mund, E.2
  • 19
    • 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 2002 928-944
    • (2002) SIAM J. Numer. Anal. , vol.40 , pp. 928-944
    • Beuchler, S.1
  • 21
    • 15944421612 scopus 로고    scopus 로고
    • AMG for higher-order discretizations of second-order elliptic problems
    • Available from
    • J. Ruge, AMG for higher-order discretizations of second-order elliptic problems, in: Abstracts of the Eleventh Copper Mountain Conference on Multigrid Methods. Available from: < http://www.mgnet.org/mgnet/ Conferences/CopperMtn03/Talks/ruge.pdf>, 2003
    • (2003) Abstracts of the Eleventh Copper Mountain Conference on Multigrid Methods
    • Ruge, J.1
  • 23
    • 0000260120 scopus 로고    scopus 로고
    • First-order system least squares for the Stokes equations, with application to linear elasticity
    • Z. Cai T. Manteuffel S. McCormick First-order system least squares for the Stokes equations, with application to linear elasticity SIAM J. Numer. Anal. 34 5 1997 1727-1741
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.5 , pp. 1727-1741
    • Cai, Z.1    Manteuffel, T.2    McCormick, S.3
  • 26
    • 0002621183 scopus 로고
    • Algebraic multigrid (AMG): Experiences and comparisons
    • K. Stüben Algebraic multigrid (AMG): Experiences and comparisons Appl. Math. Comput. 13 1983 419-451
    • (1983) Appl. Math. Comput. , vol.13 , pp. 419-451
    • Stüben, K.1
  • 28
    • 1842683260 scopus 로고    scopus 로고
    • First-order systems least squares (FOSLS) for coupled fluid-elastic problems
    • J. Heys T. Manteuffel S. McCormick J. Ruge First-order systems least squares (FOSLS) for coupled fluid-elastic problems J. Comput. Phys. 195 2 2004 560-575
    • (2004) J. Comput. Phys. , vol.195 , Issue.2 , pp. 560-575
    • Heys, J.1    Manteuffel, T.2    McCormick, S.3    Ruge, J.4
  • 29
    • 0035282142 scopus 로고    scopus 로고
    • A review of algebraic multigrid
    • K. Stüben A review of algebraic multigrid J. Comput. Appl. Math. 128 2001 281-309
    • (2001) J. Comput. Appl. Math. , vol.128 , pp. 281-309
    • Stüben, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.