Max-Norm Estimates for Galerkin Approximations of One-Dimensional Elliptic, Parabolic and Hyperbolic Problems with Mixed Boundary Conditions
Year: 1989
Journal of Computational Mathematics, Vol. 7 (1989), Iss. 4 : pp. 383–396
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1989-JCM-9488
Journal of Computational Mathematics, Vol. 7 (1989), Iss. 4 : pp. 383–396
Published online: 1989-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14