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Table 1 The data record the case of 29 iterations with \(\pmb{w_{0}}\) as the initial function and step length equal to 1, where k is the iteration number, G is defined by ( 3.9 ), and the rate θ denotes \(\pmb{G(u_{k})/G(u_{k-1})}\)

From: An effective finite element Newton method for 2D p-Laplace equation with particular initial iterative function

k

G

θ

k

G

θ

k

G

θ

0

0.0337

-

10

2.5505e + 08

0.3164

20

2.5649e + 03

0.3164

1

8.0246e + 12

-

11

8.0700e + 07

0.3164

21

811.5647

0.3164

2

2.5390e + 12

0.3164

12

2.5534e + 07

0.3164

22

256.7842

0.3164

3

8.0336e + 11

0.3164

13

8.0791e + 06

0.3164

23

81.2481

0.3164

4

2.5419e + 11

0.3164

14

2.5563e + 06

0.3164

24

25.7074

0.3164

5

8.0427e + 10

0.3164

15

8.0882e + 05

0.3164

25

8.1338

0.3164

6

2.5448e + 10

0.3164

16

2.5592e + 05

0.3164

26

2.5733

0.3164

7

8.0518e + 09

0.3164

17

8.0974e + 04

0.3164

27

0.8137

0.3164

8

2.5476e + 09

0.3164

18

2.5621e + 04

0.3164

29

0.2569

0.3164

9

8.0609e + 08

0.3164

19

8.1065e + 03

0.3164

29

0.0808

0.3164