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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Some estimates for a weighted $L^ 2$ projection
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by James H. Bramble and Jinchao Xu PDF
Math. Comp. 56 (1991), 463-476 Request permission

Abstract:

This paper is devoted to the error estimates for some weighted ${L^2}$ projections. Nearly optimal estimates are obtained. These estimates can be applied to the analysis of the usual multigrid method, multilevel preconditioner and domain decomposition method for solving elliptic boundary problems whose coefficients have large jump discontinuities.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Math. Comp. 56 (1991), 463-476
  • MSC: Primary 65N30; Secondary 65N15, 65N55
  • DOI: https://doi.org/10.1090/S0025-5718-1991-1066830-3
  • MathSciNet review: 1066830