Hesthaven, Jan S.Kaber, S. M.Lurati, L.2013-11-122013-11-122013-11-12200610.1007/s10915-006-9085-9https://infoscience.epfl.ch/handle/20.500.14299/96906WOS:000240106000012We 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.Pade interpolantsLegendre polynomialsGibbs phenomenontext::journal::journal article::research article