Abstract
Near-optimal CPU efficiency for the basic operations of the Newton-Krylov-BILU iterations for the discontinuous Galerkin method (DGM) can be obtained by exploiting its data locality, as it allows to rewrite these operations in terms of BLAS/LAPACK operations on contiguous vectors and matrices of considerable size. Further significant enhancements are obtained by using single precision pre-conditioners and by exploiting data alignment to improve cache efficiency. The underlying data structures and operations are explained, followed by the comparison of the obtained floating point operation (FLOP) efficiency to the theoretical optimum.
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Hillewaert, K. (2010). Exploiting Data Locality in the DGM Discretisation for Optimal Efficiency. In: Kroll, N., Bieler, H., Deconinck, H., Couaillier, V., van der Ven, H., Sørensen, K. (eds) ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03707-8_2
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DOI: https://doi.org/10.1007/978-3-642-03707-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03706-1
Online ISBN: 978-3-642-03707-8
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