Simon Layton, Boston University - Nvidia

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Profiling<br />

‣1,000,000 unknowns<br />

‣Error norm of 10 -5<br />

‣Single Tesla C2050 GPU<br />

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Results - Performance ‣System from slow flow past cylinder compared to Hypre 1.5 0.5 -0.5 -1 -1.5 2 Code Time Speedup 1 0 -2 -1 0 1 2 3 4 CUDA 3.57s 1.87x Hypre (1C) Hypre (2C) Hypre (4C) Hypre (6C) 6.69s - 5.29s 1.26x 4.16s 1.61x 4.00s 1.67x 17

Profiling ‣1,000,000 unknowns ‣Error norm of 10 -5 ‣Single Tesla C2050 GPU 18

Page 1 and 2: Classical Algebraic Multigrid for E
Page 3 and 4: What is Multigrid and why do we car
Page 5 and 6: Matrix as a graph ‣Variables as v
Page 7 and 8: Component (2) - Selector ‣Choose
Page 9 and 10: Component (4) - Galerkin Product
Page 11 and 12: GPU Implementation - Justification
Page 13 and 14: Interpolator (again) ‣Interpolati
Page 15 and 16: Repeated Set Union Ĉ i = C s i [ [
Page 17: Results - Convergence ‣Regular Po
Page 21: Conclusions & Further Work ‣Class

Simon Layton, Boston University - Nvidia

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