A proof of concept for very fast finite element Poisson solvers on accelerator hardware

Autor: Dustin Ruda, Stefan Turek, Dirk Ribbrock, Peter Zajac
Jazyk: angličtina
Rok vydání: 2021
Předmět:
DOI: 10.17877/de290r-22630
Popis: 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.
Proceedings in applied mathematics and mechanics;21(1)
Databáze: OpenAIRE