# An Optimal $L_\infty$ Error Estimate for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems

@inproceedings{Wheeler1973AnO,
title={An Optimal \$L_\infty \$ Error Estimate for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems},
author={Mary F. Wheeler},
year={1973}
}
An a priori $L_\infty$ error estimate is established for continuous piecewise polynomial Galerkin approximations to solutions of linear two-point boundary value problems. This estimate is the best possible in that the order of convergence is optimal and the norm on the solutions cannot be weakened.

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