Simon Layton, Boston University - Nvidia

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Differing Approaches

1. Worst case storage, sort & unique

- Reliant on thrust

2. Construct boolean matrices for connections

- Matrix-Matrix multiply

- Reliant on Cusp

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Differing Approaches 1. Worst case storage, sort & unique - Reliant on thrust 2. Construct boolean matrices for connections - Matrix-Matrix multiply - Reliant on Cusp 15

Results - Convergence ‣Regular Poisson grids - Problem size invariance for convergence 1 0.9 0.8 Average Convergence Rate 0.7 0.6 0.5 0.4 0.3 5−pt 9pt 7pt 27pt 0.2 0.1 0 2 4 6 8 10 N x 10 5 16

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: Repeated Set Union Ĉ i = C s i [ [
Page 19 and 20: Profiling ‣1,000,000 unknowns ‣
Page 21: Conclusions & Further Work ‣Class

Simon Layton, Boston University - Nvidia

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