Optimal Lœ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
نویسندگان
چکیده
A priori error estimates in the maximum norm are derived for Galerkin approximations to solutions of two-point boundary valué problems. The class of Galerkin spaces considered includes almost all (quasiuniform) piecewise-polynomial spaces that are used in practice. The estimates are optimal in the sense that no better rate of approximation is possible in general in the spaces employed.
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