1. (Analyses Acceleration) (with Nested Iterations)
Multigrid CA
(Analyses Acceleration)
(with Nested Iterations)

2. ▣ Multigrid Accelerationx y F
lattice h
lattice 2h
lattice 4h
lattice 8h S E h 2h 4h 8h
lattice
V - cycle S E h 2h 4h 8h
lattice
W - cycle E
: Equilibrium update to convergence
: Equilibrium updated S times S
: Prolongation (e)
: Restriction (r)

3. ▣. Multigrid Acceleration. S=25, Vf=2 (W-cycle). #of Cells vs
▣ Multigrid Acceleration S=25, Vf=2 (W-cycle) #of Cells vs. #of Cell updates

4. ▣. Multigrid Acceleration. S=25, Vf=1 (V-cycle). #of Cells vs
▣ Multigrid Acceleration S=25, Vf=1 (V-cycle) #of Cells vs. #of Cell updates

5. ▣. Multigrid Acceleration. S=10, Vf=2 (W-cycle). #of Cells vs
▣ Multigrid Acceleration S=10, Vf=2 (W-cycle) #of Cells vs. #of Cell updates

6. ▣. Multigrid Acceleration. S=10, Vf=1 (V-cycle). #of Cells vs
▣ Multigrid Acceleration S=10, Vf=1 (V-cycle) #of Cells vs. #of Cell updates

7. ▣ Multigrid Acceleration Number of Design Updates
Total number of design update
number of cells 5 9 17 33 65
129
257
513
1025
S=10 Vf=1 Df = 2 6 84 10 19
102 97 75
S=10 Vf=1 Df = 3 3 11 14 96 24
S=10 Vf=2 Df = 1 29
S=10 Vf=2 Df = 2 2
S=10 Vf=2 Df = 3 4
S=25 Vf=1 Df = 1 16
105 30 35
S=25 Vf=1 Df = 2
S=25 Vf=1 Df = 3
S=25 Vf=2 Df = 1
S=25 Vf=2 Df = 2
S=25 Vf=2 Df = 3