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• W2208851161 abstract "We evaluate the computational performance of the Bernstein-Bezier basis for discontinuous Galerkin (DG) discretizations and show how to exploit properties of derivative and lift operators specific to Bernstein polynomials for an optimal complexity quadrature-free evaluation of the DG formulation. Issues of efficiency and numerical stability are discussed in the context of a model wave propagation problem. We compare the performance of Bernstein-Bezier kernels to both a straightforward and a block-partitioned implementation of nodal DG kernels in a time-explicit GPU-accelerated DG solver. Computational experiments confirm the advantage of Bernstein-Bezier DG kernels over both straightforward and block-partitioned nodal DG kernels at high orders of approximation." @default.
• W2208851161 created "2016-06-24" @default.
• W2208851161 creator A5018693723 @default.
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• W2208851161 date "2015-12-18" @default.
• W2208851161 modified "2023-09-26" @default.
• W2208851161 title "GPU-accelerated Bernstein-Bezier discontinuous Galerkin methods for wave problems" @default.
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• W2208851161 doi "https://doi.org/10.48550/arxiv.1512.06025" @default.
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