@Article{JCM-7-4,
author = {},
title = {Max-Norm Estimates for Galerkin Approximations of One-Dimensional Elliptic, Parabolic and Hyperbolic Problems with Mixed Boundary Conditions},
journal = {Journal of Computational Mathematics},
year = {1989},
volume = {7},
number = {4},
pages = {383--396},
abstract = {<p style="text-align: justify;">The Galerkin methods are studied for two-point boundary value problems and the related one-dimensional parabolic and hyperbolic problems. The boundary value problem considered here is of non-adjoint from and with mixed boundary conditions. The optimal order error estimate in the max-norm is first derived for the boundary problem for the finite element subspace. This result then gives optimal order max-norm error estimates for the continuous and discrete time approximations for the evolution problems described above.</p>},
issn = {1991-7139},
doi = {https://doi.org/1989-JCM-9488},
url = {https://global-sci.com/article/86121/max-norm-estimates-for-galerkin-approximations-of-one-dimensional-elliptic-parabolic-and-hyperbolic-problems-with-mixed-boundary-conditions}
}