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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© 2008 Springer Science+Business Media, LLC
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(2008). 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/10.1007/978-0-387-75934-0_7
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DOI: https://doi.org/10.1007/978-0-387-75934-0_7
Publisher Name: Springer, New York, NY
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