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Table 4 Comparison of relative errors for Example 2

From: Cauchy problem for the Laplace equation in a radially symmetric hollow cylinder

r

ε  = 0.005

ε  = 0.05

0.2

0.6

0.9

0.2

0.6

0.9

RES (a priori)

0.0041

0.0147

0.0871

0.0376

0.0468

0.0949

RES (a posteriori)

0.0040

0.0096

0.0350

0.0363

0.0363

0.0377