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

Simple item page
dc.contributor.authorRuda, Dustin
dc.contributor.authorTurek, Stefan
dc.contributor.authorRibbrock, Dirk
dc.contributor.authorZajac, Peter
dc.date.accessioned2022-03-08T09:08:06Z
dc.date.available2022-03-08T09:08:06Z
dc.date.issued2021-12-14
dc.description.abstractIt 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.en
dc.identifier.urihttp://hdl.handle.net/2003/40773
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22630
dc.language.isoende
dc.relation.ispartofseriesProceedings in applied mathematics and mechanics;21(1)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc510
dc.titleA proof of concept for very fast finite element Poisson solvers on accelerator hardwareen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationRuda, D., Turek, S., Ribbrock, D. and Zajac, P. (2021), A Proof of Concept for Very Fast Finite Element Poisson Solvers on Accelerator Hardware. Proc. Appl. Math. Mech., 21: e202100091. https://doi.org/10.1002/pamm.202100091de
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1002/pamm.202100091de

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Proc Appl Math Mech - 2021 - Ruda - A Proof of Concept for Very Fast Finite Element Poisson Solvers on Accelerator.pdf
Size:
191.21 KB
Format:
Adobe Portable Document Format
Description:
DNB
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
4.85 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Lehrstuhl III Angewandte Mathematik und Numerik