References for Multigrid and Multi-Level Solution of Convection-Diffusion
Here are some references related to solving convection-diffusion equations
by multigrid or multi-level methods.
If you have other relevant references that are not listed here,
please send me an e-mail message (firstname.lastname@example.org). (This reference list
is biased in favor of computational results, algorithm tests of
Achi Brandt and Irad Yavneh,
Accelerated multigrid convergence and high Reynolds recirculating flow,
SIAM Journal on Scientific Computing, Vol. 14, 607--626 (1993).
Paul M. de Zeeuw,
Matrix-dependent prolongations and restrictions in a blackbox
Journal of Computational and Applied Mathematics, Vol. 3, 1--27 (1990).
Murli M. Gupta, Ram P. Manohar and John W. Stephenson,
A single cell high order scheme for the convection-diffusion equation with
International Journal of Numerical Methods in Fluids, Vol. 4, 641--651 (1984).
Murli M. Gupta, Jules Kouatchou and Jun Zhang,
A compact multigrid solver for convection-diffusion equations,
Journal of Computational Physics, Vol. 132(1), 123--129 (1997).
Fourier analysis of a robust multigrid method for
Numerische Mathematik, Vol. 71, 365--398 (1995).
John W. Ruge and Klaus Stuben,
in Multigrid Methods (S.F. McCormick, ed.), SIAM, Philadelphia, 1987.
Yousef Saad and Jun Zhang,
BILUM: block versions of multi-elimination and multi-level ILU preconditioner
for general sparse linear systems,
Technical Report UMSI 97/126, Minnesota Supercomputer Institute,
University of Minnesota, Minneapolis, MN 55455, 1997.
An Introduction to Multigrid Methods,
John Wiley & Sons, Chichester, 1992.
Accelerated multigrid high accuracy solution of the convection-diffusion
equation with high Reynolds number,
Numerical Methods for Partial Differential Equations, Vol. 13, 77--92 (1997).
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