Abstract
The multigrid method provides an optimal order algorithm for solving elliptic boundary value problems. The error bounds of the approximate solution obtained from the full multigrid algorithm are comparable to the theoretical bounds of the error in the finite element method, while the amount of computational work involved is proportional only to the number of unknowns in the discretized equations.
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© 2002 Springer Science+Business Media New York
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Brenner, S.C., Scott, L.R. (2002). Finite Element Multigrid Methods. In: The Mathematical Theory of Finite Element Methods. Texts in Applied Mathematics, vol 15. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3658-8_7
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DOI: https://doi.org/10.1007/978-1-4757-3658-8_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-3660-1
Online ISBN: 978-1-4757-3658-8
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