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Graph Grammar-based Parallel Direct Solver for 1D and 2D Isogeometric Finite Element Method

Seminar:

Graph Grammar-based Parallel Direct Solver for 1D and 2D Isogeometric Finite Element Method
Thursday, January 17, 2013
3:30PM – 5PM
POB 6.304

Maciej Paszynski

We present a graph grammar based implementation of a multi-frontal solver with NVIDIA CUDA GPU for isogeometric finite elements. The presentation will focus on numerical illustration and verification of computational cost estimates for a parallel shared memory implementation:
O(p^2log(N/p)) for 1D , O(Np^2) for 2D, and O(N^1.33 p^2) for 3D problems. For comparison, the corresponding estimates for a standard sequential implementation are:
O((N/p)p^2), O(N^1.5p^3) and O(N^2p^3), respectively.

We conclude with a discussion on practical limitations of such GPU implementations.

The work was done in collaboration with Krzysztof Kuznik (AGH), Victor Calo (KAUST) and David Pardo (U Basque Country).

Hosted by Leszek Demkowicz