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

C. D. CantwellS. J. SherwinR. M. KirbyP. H. J. Kelly — 2011

Mathematical Modelling of Natural Phenomena

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...

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