GPU acceleration of average gradient method for solving partial differential equations

Puro, Touko; Pohjonen, Aarne (2025-01-13)
 
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https://doi.org/10.3384/ecp212.066

Puro, Touko
Pohjonen, Aarne
Linköping university electronic press
13.01.2025

Puro, T., & Pohjonen, A. (2025, January 13). GPU acceleration of average gradient method for solving partial differential equations. Proceedings of the Second SIMS EUROSIM Conference on Modelling and Simulation, SIMS EUROSIM 2024. https://doi.org/10.3384/ecp212.066

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© 2025 Touko Puro, Aarne Pohjonen. This work is licensed under a Creative Commons Attribution 4.0 International License.
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doi:https://doi.org/10.3384/ecp212.066
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https://urn.fi/URN:NBN:fi:oulu-202502211790
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Abstract

Previously presented method of calculating local average gradients for solvingpartial differential equations (PDEs) is enhanced by accelerating it with graphics processingunits (GPUs) and combining a previous technique of interpolating between grid points in thecalculation of the gradients instead of using interpolation to create a denser grid.For accelerating the calculation with GPUs, we have ported the original naive Matlabimplementation to C++ and CUDA, and after optimizing the code we observe a speedupfactors more than two thousand, which is largely due to the original code not being optimized.
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