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Theory and Modern Applications

Table 4 Discrete relative error estimations for the regularized solution at fixed values y=π/12 and z=1.5 from y=0.6 to y=1.0

From: On a general filter regularization method for the 2D and 3D Poisson equation in physical geodesy

 

0.6

0.7

0.8

0.9

1.0

10−1

9.00E − 03

9.50E − 03

4.92E − 04

8.90E − 03

1.90E − 03

10−2

4.95E − 04

1.50E − 03

1.36E − 04

1.10E − 03

6.43E − 04

10−3

1.04E − 04

1.17E − 04

2.17E − 04

1.37E − 05

4.97E − 05

10−4

6.05E − 06

8.17E − 06

1.43E − 05

4.80E − 06

8.62E − 07

10−5

4.09E − 08

8.46E − 07

2.01E − 07

8.32E − 08

6.73E − 08

10−6

5.19E − 08

7.07E − 09

1.76E − 08

5.49E − 08

8.52E − 09

10−7

1.40E − 08

5.50E − 09

3.98E − 09

1.72E − 09

7.54E − 09

10−8

9.93E − 10

9.96E − 10

2.19E − 10

6.04E − 10

1.18E − 09

10−9

1.74E − 12

8.56E − 11

7.30E − 11

2.02E − 11

5.96E − 11

10−10

2.48E − 12

3.30E − 12

1.65E − 11

1.85E − 12

1.85E − 12