Pade-legendre interpolants for Gibbs reconstruction

We discuss the use of Pade-Legendre interpolants as an approach for the postprocessing of data contaminated by Gibbs oscillations. A fast interpolation based reconstruction is proposed and its excellent performance illustrated on several problems. Almost non-oscillatory behavior is shown without knowledge of the position of discontinuities. Then we consider the performance for computational data obtained from nontrivial tests, revealing some sensitivity to noisy data. A domain decomposition approach is proposed as a partial resolution to this and illustrated with examples.


Published in:
Journal of Scientific Computing, 28, 2-3, 337-359
Year:
2006
Publisher:
Springer Verlag
ISSN:
0885-7474
Keywords:
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 Record created 2013-11-12, last modified 2018-03-17

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