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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Optimal $ L\sb{\infty }$ error estimates for Galerkin approximations to solutions of two-point boundary value problems


Authors: Jim Douglas, Todd Dupont and Lars Wahlbin
Journal: Math. Comp. 29 (1975), 475-483
MSC: Primary 65L10
MathSciNet review: 0371077
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Abstract: A priori error estimates in the maximum norm are derived for Galerkin approximations to solutions of two-point boundary value 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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1975-0371077-0
PII: S 0025-5718(1975)0371077-0
Article copyright: © Copyright 1975 American Mathematical Society