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arXiv · 1711.00903

Acceleration of tensor-product operations for high-order finite element methods

Kasia Świrydowicz·Noel Chalmers·Ali Karakus·Timothy Warburton
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Abstract

This paper is devoted to GPU kernel optimization and performance analysis of three tensor-product operators arising in finite element methods. We provide a mathematical background to these operations and implementation details. Achieving close-to-the-peak performance for these operators requires extensive optimization because of the operators' properties: low arithmetic intensity, tiered structure, and the need to store intermediate results inside the kernel. We give a guided overview of optimization strategies and we present a performance model that allows us to compare the efficacy of these optimizations against an empirically calibrated roofline.

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Kasia Świrydowicz, Noel Chalmers, Ali Karakus, Timothy Warburton. 2017-11-02. Acceleration of tensor-product operations for high-order finite element methods. https://arxiv.org/abs/1711.00903

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