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.References
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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