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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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Maximum-norm interior estimates for Ritz-Galerkin methods
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by James H. Bramble, Joachim A. Nitsche and Alfred H. Schatz PDF
Math. Comp. 29 (1975), 677-688 Request permission

Abstract:

In this paper we obtain, by simple means, interior maximum-norm estimates for a class of Ritz-Galerkin methods used for approximating solutions of second order elliptic boundary value problems in ${{\mathbf {R}}^N}$. The estimates are proved when the approximating subspaces are any of a large class of piecewise polynomial subspaces which we assume here to be defined on a uniform mesh on the interior domain. Optimal rates of convergence are obtained.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Math. Comp. 29 (1975), 677-688
  • MSC: Primary 65N15
  • DOI: https://doi.org/10.1090/S0025-5718-1975-0398120-7
  • MathSciNet review: 0398120