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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory
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by James H. Bramble PDF
Math. Comp. 64 (1995), 1359-1365 Request permission


In this paper we describe an interpolation result for the Sobolev spaces $H_0^s(\Omega )$ where $\Omega$ is a bounded domain with a Lipschitz boundary. This result is applied to derive discrete norm estimates related to multilevel preconditioners and multigrid methods in the finite element method. The estimates are valid for operators of order 2m with Dirichlet boundary conditions.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Math. Comp. 64 (1995), 1359-1365
  • MSC: Primary 46E35; Secondary 46M35, 65N30
  • DOI:
  • MathSciNet review: 1308447