메뉴 건너뛰기




Volumn 37, Issue 2, 2000, Pages 443-469

Robust convergence of multilevel algorithms for convection-diffusion equations

(1)  Pflaum, Christoph a  

a NONE

Author keywords

Convection diffusion equation; Finite elements; Prewavelets; Robust multilevel algorithm; Semicoarsening

Indexed keywords


EID: 0000782989     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036142998346870     Document Type: Article
Times cited : (12)

References (19)
  • 1
    • 0012672225 scopus 로고
    • The contraction number of a mutigrid method for solving the Poisson equation
    • D. BRAESS, The contraction number of a mutigrid method for solving the Poisson equation, Numer. Math., 37 (1981), pp. 387-404.
    • (1981) Numer. Math. , vol.37 , pp. 387-404
    • Braess, D.1
  • 4
    • 0042887903 scopus 로고
    • Operator induced multigridalgorithms using semirefinement
    • J. Mandel, S. McCormick, J. Dendy, C. Farhat, G. Lonsdale, S. Parter, J. Ruge, and K. Stüben, eds., SIAM, Philadelphia, PA
    • N. H. DECKER AND J. V. ROSENDALE, Operator induced multigridalgorithms using semirefinement, in Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods, J. Mandel, S. McCormick, J. Dendy, C. Farhat, G. Lonsdale, S. Parter, J. Ruge, and K. Stüben, eds., SIAM, Philadelphia, PA, 1989, pp. 87-105.
    • (1989) Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods , pp. 87-105
    • Decker, N.H.1    Rosendale, J.V.2
  • 6
  • 8
    • 0031514669 scopus 로고    scopus 로고
    • Downwind Gauss-Seidel smoothing for convection dominated problems
    • W. HACKBUSCH AND T. PROBST, Downwind Gauss-Seidel smoothing for convection dominated problems, Numer. Linear Algebra Appl., 4 (1997), pp. 85-102.
    • (1997) Numer. Linear Algebra Appl. , vol.4 , pp. 85-102
    • Hackbusch, W.1    Probst, T.2
  • 9
    • 0003287679 scopus 로고    scopus 로고
    • Numerical Solution of Convection-diffusion Problems
    • Chapman & Hall, London, New York
    • K. W. MORTON, Numerical Solution of Convection-Diffusion Problems, App. Math. Math. Comput. 12, Chapman & Hall, London, New York, 1996.
    • (1996) App. Math. Math. Comput. , vol.12
    • Morton, K.W.1
  • 10
    • 0001233373 scopus 로고
    • A new multigrid approach to convection problems
    • W. MULDER, A new multigrid approach to convection problems, J. Comput. Phys., 83 (1989), pp. 303-323.
    • (1989) J. Comput. Phys. , vol.83 , pp. 303-323
    • Mulder, W.1
  • 11
    • 0004139365 scopus 로고
    • Teubner Skripten zur Numerik, Hrsg.: H. G. Bock, W. Hackbusch, and R. Rannacher, eds., Teubner, Stuttgart
    • P. OSWALD, Multilevel Finite Element Approximation, Teubner Skripten zur Numerik, Hrsg.: H. G. Bock, W. Hackbusch, and R. Rannacher, eds., Teubner, Stuttgart, 1994.
    • (1994) Multilevel Finite Element Approximation
    • Oswald, P.1
  • 12
    • 0038538913 scopus 로고    scopus 로고
    • Habilitationsschrift, eingereicht bei der Fakultät für Mathematik und Informatik der Universität Würzburg
    • C. PFLAUM, Fast and robust multilevel algorithms, Habilitationsschrift, eingereicht bei der Fakultät für Mathematik und Informatik der Universität Würzburg, 1998.
    • (1998) Fast and Robust Multilevel Algorithms
    • Pflaum, C.1
  • 13
    • 0000896078 scopus 로고
    • Multigrid with Matrix-dependent Transfer Operators for Convection-diffusion Problems
    • Birkhäuser-Verlag, Basel, Switzerland
    • A. REUSKEN, Multigrid with Matrix-Dependent Transfer Operators for Convection-Diffusion Problems, Internat. Ser. Numer. Math. 116, Birkhäuser-Verlag, Basel, Switzerland, 1994.
    • (1994) Internat. Ser. Numer. Math. , vol.116
    • Reusken, A.1
  • 14
    • 21844485073 scopus 로고
    • Fourier analysis of a robust multigrid method for convection-diffusion equations
    • A. REUSKEN, Fourier analysis of a robust multigrid method for convection-diffusion equations, Numer. Math., 71 (1995), pp. 365-398.
    • (1995) Numer. Math. , vol.71 , pp. 365-398
    • Reusken, A.1
  • 15
    • 0003229567 scopus 로고    scopus 로고
    • Numerical Methods for Singularly Perturbed Differential Equations
    • Spinger-Verlag, Berlin, Heidelberg
    • H.-G. ROOS, M. STYNES, AND L. TOBISKA, Numerical Methods for Singularly Perturbed Differential Equations, Springer Ser. Comput. Math. 24, Spinger-Verlag, Berlin, Heidelberg, 1996.
    • (1996) Springer Ser. Comput. Math. , vol.24
    • Roos, H.-G.1    Stynes, M.2    Tobiska, L.3
  • 16
    • 0001885411 scopus 로고
    • Algebraic Multigrid
    • Multigrid Methods, S. F. McCormick, ed., SIAM, Philadelphia, PA
    • J. RUGE AND K. STÜBEN, Algebraic Multigrid, in Multigrid Methods, S. F. McCormick, ed., Frontiers Appl. Math. 3, SIAM, Philadelphia, PA, 1987, pp. 73-130.
    • (1987) Frontiers Appl. Math. , vol.3 , pp. 73-130
    • Ruge, J.1    Stüben, K.2
  • 17
    • 21444434334 scopus 로고    scopus 로고
    • Multilevel minimal residual methods for nonsymmetric elliptic problems
    • G. STARKE, Multilevel minimal residual methods for nonsymmetric elliptic problems, Numer. Linear Algebra App., 3 (1996), pp. 351-367.
    • (1996) Numer. Linear Algebra App. , vol.3 , pp. 351-367
    • Starke, G.1
  • 18
    • 0027543612 scopus 로고
    • Convergence analysis of multigrid algorithms for nonselfadjoint and indefinite elliptic problems
    • J. WANG, Convergence analysis of multigrid algorithms for nonselfadjoint and indefinite elliptic problems, SIAM J. Numer. Anal., 30 (1993), pp. 275-285.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 275-285
    • Wang, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.