GPU Acceleration of Partial Differential Equation Solvers

P. Iosifidis, P. Weit, P. Marlappan, R. Flanagan, I. Spence, P. Kilpatrick, J. Fitzsimons

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Abstract

Differential equations are often directly solvable by analytical means only in their one dimensional version. Partial differential equations are generally not solvable by analytical means in two and three dimensions, with the exception of few special cases. In all other cases, numerical approximation methods need to be utilized. One of the most popular methods is the finite element method. The main areas of focus, here, are the Poisson heat equation and the plate bending equation. The purpose of this paper is to provide a quick walkthrough of the various approaches that the authors followed in pursuit of creating optimal solvers, accelerated with the use of graphical processing units, and comparing them in terms of accuracy and time efficiency with existing or self-made non-accelerated solvers.
Original languageEnglish
Title of host publicationProceedings of the Fourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering
EditorsP. Ivanyl, B.H.V. Topping
PublisherCivil-Comp Press
Volume107
ISBN (Print)978-1-905088-62-1
DOIs
Publication statusPublished - 2015
EventFourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering - Dubrovnik, Croatia
Duration: 24 Mar 201527 Mar 2015

Conference

ConferenceFourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering
CountryCroatia
CityDubrovnik
Period24/03/201527/03/2015

Keywords

  • GPU acceleration
  • finite element
  • partial differential equations
  • Poisson
  • plates
  • plate bending

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