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Some remarks on post-processing and negative norm estimates for approximations to non-smooth solutions of hyperbolic equations

✍ Scribed by Bales, Laurence A.


Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
410 KB
Volume
9
Category
Article
ISSN
1069-8299

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✦ Synopsis


Abstract

Some formulae and an error estimate for post‐processing approximations to solutions of hyperbolic partial differential equations are derived. The post‐processing is applied to a fully discrete approximation of the discontinuous solution of an initial boundary‐value problem for the wave equation in one space dimension to reduce oscillations and construct a much more accurate approximation to the solution.