TY - JOUR
T1 - Max-Norm Estimates for Galerkin Approximations of One-Dimensional Elliptic, Parabolic and Hyperbolic Problems with Mixed Boundary Conditions
AU - Che Sun
JO - Journal of Computational Mathematics
VL - 4
SP - 383
EP - 396
PY - 1989
DA - 1989/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9488.html
KW - 
AB - <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>