Displaying similar documents to “Spectral Reconstruction of Piecewise Smooth Functions from Their Discrete Data”

Spectral reconstruction of piecewise smooth functions from their discrete data

Anne Gelb, Eitan Tadmor (2002)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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This paper addresses the recovery of piecewise smooth functions from their discrete data. Reconstruction methods using both pseudo-spectral coefficients and physical space interpolants have been discussed extensively in the literature, and it is clear that an a priori knowledge of the jump discontinuity location is essential for any reconstruction technique to yield spectrally accurate results with high resolution near the discontinuities. Hence detection of the jump discontinuities...

From h to p Efficiently: Selecting the Optimal Spectral/ Discretisation in Three Dimensions

C. D. Cantwell, S. J. Sherwin, R. M. Kirby, P. H. J. Kelly (2011)

Mathematical Modelling of Natural Phenomena

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There is a growing interest in high-order finite and spectral/ element methods using continuous and discontinuous Galerkin formulations. In this paper we investigate the effect of - and -type refinement on the relationship between runtime performance and solution accuracy. The broad spectrum of possible domain discretisations makes establishing a performance-optimal selection non-trivial. Through comparing the runtime of different implementations...