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Finite element algorithms and data structures on graphical processing units

Abstract:

The finite element method (FEM) is one of the most commonly used techniques for the solution of partial differential equations on unstructured meshes. This paper discusses both the assembly and the solution phases of the FEM with special attention to the balance of computation and data movement. We present a GPU assembly algorithm that scales to arbitrary degree polynomials used as basis functions, at the expense of redundant computations. We show how the storage of the stiffness matrix affec...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1007/s10766-013-0301-6

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Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
Publisher:
Springer US Publisher's website
Journal:
International Journal of Parallel Programming Journal website
Volume:
43
Issue:
2
Pages:
203–239
Publication date:
2013-12-04
DOI:
ISSN:
0885-7458 and 1573-7640
Pubs id:
pubs:509621
URN:
uri:fb942cef-31c5-499b-b995-513ccc5c8e41
UUID:
uuid:fb942cef-31c5-499b-b995-513ccc5c8e41
Local pid:
pubs:509621
Paper number:
2

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