Maximum-Norm Interior Estimates for Ritz-Galerkin Methods
Open Access
- 1 July 1975
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 29 (131) , 677-688
- https://doi.org/10.2307/2005279
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 . 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.Keywords
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