On Some Theoretical and Practical Aspects of Multigrid Methods
- 1 July 1979
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 33 (147) , 933-952
- https://doi.org/10.2307/2006069
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.Keywords
This publication has 5 references indexed in Scilit:
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- Multi-Level Adaptive Solutions to Boundary-Value ProblemsMathematics of Computation, 1977
- HOMOGENIZATION AND ITS APPLICATION. MATHEMATICAL AND COMPUTATIONAL PROBLEMS**Research supported in part by the U.S. Energy Research and Development Administration under Contract #AEC AT (40-1)3443. Computer time for this project was supported in part through the facilities of the Computer Science Center of the University of Maryland.Published by Elsevier ,1976
- On multiple grid and related techniques for solving discrete elliptic systemsJournal of Computational Physics, 1975
- Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic EquationsSIAM Journal on Numerical Analysis, 1973