Authors: | Ruda, Dustin Turek, Stefan Ribbrock, Dirk Zajac, Peter |
Title: | A proof of concept for very fast finite element Poisson solvers on accelerator hardware |
Language (ISO): | en |
Abstract: | It is demonstrated that modern accelerator hardware specialized in AI, e.g., “next gen GPUs” equipped with Tensor Cores, can be profitably used in finite element simulations by means of a new hardware-oriented method to solve linear systems arising from Poisson's equation in 2D. We consider the NVIDIA Tesla V100 Tensor Core GPU with a peak performance of 125 TFLOP/s, that is only achievable in half precision and if operations with high arithmetic intensity, such as dense matrix multiplications, are executed, though. Its computing power can be exploited to a great extent by the new method based on “prehandling” without loss of accuracy. We obtain a significant reduction of computing time compared to a standard geometric multigrid solver on standard x64 hardware. |
URI: | http://hdl.handle.net/2003/40773 http://dx.doi.org/10.17877/DE290R-22630 |
Issue Date: | 2021-12-14 |
Rights link: | https://creativecommons.org/licenses/by/4.0/ |
Appears in Collections: | Lehrstuhl III Angewandte Mathematik und Numerik |
Files in This Item:
File | Description | Size | Format | |
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Proc Appl Math Mech - 2021 - Ruda - A Proof of Concept for Very Fast Finite Element Poisson Solvers on Accelerator.pdf | DNB | 191.21 kB | Adobe PDF | View/Open |
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