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P. Iosifidis¹, P. Weir¹, P. Mariappan¹, R. Flanagan¹, I. Spence², P. Kilpatrick² and J. Fitzsimons³

¹NUMA Engineering Services Ltd, Dundalk, Co. Louth, Ireland
²Queen's University, Belfast, United Kingdom
³FUSION Intertrade Ireland, Dublin, Ireland

doi:10.4203/ccp.107.45

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P. Iosifidis, P. Weir, P. Mariappan, R. Flanagan, I. Spence, P. Kilpatrick, J. Fitzsimons, "GPU Acceleration of Partial Differential Equation Solvers", in , (Editors), "Proceedings of the Fourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 45, 2015. doi:10.4203/ccp.107.45

Keywords: GPU acceleration, finite element, partial differential equations, Poisson, plates, plate bending.

Summary

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.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 107 PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING Edited by: Paper 45 GPU Acceleration of Partial Differential Equation Solvers P. Iosifidis¹, P. Weir¹, P. Mariappan¹, R. Flanagan¹, I. Spence², P. Kilpatrick² and J. Fitzsimons³ ¹NUMA Engineering Services Ltd, Dundalk, Co. Louth, Ireland ²Queen's University, Belfast, United Kingdom ³FUSION Intertrade Ireland, Dublin, Ireland doi:10.4203/ccp.107.45 purchase the full-text of this paper Full Bibliographic Reference for this paper P. Iosifidis, P. Weir, P. Mariappan, R. Flanagan, I. Spence, P. Kilpatrick, J. Fitzsimons, "GPU Acceleration of Partial Differential Equation Solvers", in , (Editors), "Proceedings of the Fourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 45, 2015. doi:10.4203/ccp.107.45 Keywords: GPU acceleration, finite element, partial differential equations, Poisson, plates, plate bending. Summary 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £45 +P&P)
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