On some theoretical and practical aspects of multigrid methods

Author:
R. A. Nicolaides

Journal:
Math. Comp. **33** (1979), 933-952

MSC:
Primary 65N30

DOI:
https://doi.org/10.1090/S0025-5718-1979-0528048-4

MathSciNet review:
528048

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Abstract: A description and explanation of a simple multigrid algorithm for solving finite element systems is given. Numerical results from an implementation are reported for a number of elliptic equations, including cases with singular coefficients and indefinite equations. The method shows the high efficiency, essentially independent of the grid spacing, predicted by the theory.

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DOI:
https://doi.org/10.1090/S0025-5718-1979-0528048-4

Article copyright:
© Copyright 1979
American Mathematical Society