2921

GPU Acceleration of Equations Assembly in Finite Elements Method – Preliminary Results

Jiri Filipovic, Igor Peterlik, Jan Fousek
Masaryk University
Symposium on Application Accelerators in High Performance Computing, 2009 (SAAHPC’09)

@conference{filipovic2009gpu,

   title={GPU Acceleration of Equations Assembly in Finite Elements Method-Preliminary Results},

   author={Filipovic, J. and Peterlik, I. and Fousek, J.},

   booktitle={SAAHPC: Symposium on Application Accelerators in HPC},

   year={2009},

   organization={Citeseer}

}

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The finite element method (FEM) is widely used for numerical solution of partial differential equations. Two computationally expensive tasks have to be performed in FEM – equations assembly and solution of the system of equations. We present mapping of the equations assembly problem for StVenant-Kirchhoff material to GPU computation model and show results of its early implementations outperforming our single core CPU implementation by factor of 15. Moreover, presented method used for equations assembly problem solution is more general and can be considered as a technique to manage complex composition of medium-grained operations with different requirements of GPU resources.
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