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Theory and Modern Applications

Table 7 Comparison of the iteration number and computational cost (WU) on different grid level of MG and EXFMG methods for Example 5.1

From: An extrapolation full multigrid algorithm combined with fourth-order compact scheme for convection–diffusion equations

j

\(\Omega _{j}\)

MG

EXFMG

Iter

WU

Iter

WU

2

64 × 64

1

0.02

1

0.02

3

128 × 128

9

0.70

10

0.78

4

256 × 256

9

2.95

8

2.63

5

512 × 512

9

11.95

7

9.30

6

1024 × 1024

9

47.95

5

26.64