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Finite element matrix generation on a GPU

Abstract

This paper presents an efficient technique for fast generation of sparse systems of linear equations arising in computational electromagnetics in a finite element method using higher order elements. The proposed approach employs a graphics processing unit (GPU) for both numerical integration and matrix assembly. The performance results obtained on a test platform consisting of a Fermi GPU (1x Tesla C2075) and a CPU (2x twelve-core Opterons), indicate that the GPU implementation of the matrix generation allows one to achieve speedups by a factor of 81 and 19 over the optimized single- and multi-threaded CPU-only implementations, respectively.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
Progress in Electromagnetics Research-PIER no. 128, pages 249 - 265,
ISSN: 1559-8985
Language:
English
Publication year:
2012
Bibliographic description:
Dziekoński A., Sypek P., Lamęcki A., Mrozowski M.: Finite element matrix generation on a GPU// Progress in Electromagnetics Research-PIER. -Vol. 128, (2012), s.249-265
Verified by:
Gdańsk University of Technology

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