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. 2022 Apr 20;22(9):3153. doi: 10.3390/s22093153

Table 2.

Results of calculations in case of Hooke–Jeeves algorithm: λ¯ —reconstructed value of thermal conductivity coefficient; α¯—reconstructed value of x-direction derivative order; δ—the relative error of reconstruction; J—the value of objective function; fe—number of evaluation objective function; SP—starting point.

Mesh Size Noise SP λ¯ δλ¯[%] α¯ δα¯[%] J fe
100 × 100 × 200 0% (100, 0.2) 240.15 6.57 × 10−2 0.7993 8.33 × 10−2 0.0182 272
(300, 0.1) 246
(450, 0.5) 240
(500, 0.9) 299
2% (100, 0.2) 240.38 1.59 × 10−1 0.7971 3.61 × 10−1 724.57 254
(300, 0.1) 217
(450, 0.5) 235
(500, 0.9) 270
5% (100, 0.2) 241.44 6.03 × 10−1 0.7757 3.03 4993.85 230
(300, 0.1) 203
(450, 0.5) 257
(500, 0.9) 255
10% (100, 0.2) 236.86 1.31 0.7781 2.73 19,424.36 217
(300, 0.1) 199
(450, 0.5) 239
(500, 0.9) 245
160 × 160 × 250 0% (100, 0.2) 240.06 2.51 × 10−2 0.7997 3.21 × 10−2 0.0036 265
(300, 0.1) 225
(450, 0.5) 221
(500, 0.9) 292
2% (100, 0.2) 239.95 1.98 × 10−2 0.8018 2.31 × 10−1 1014.21 257
(300, 0.1) 231
(450, 0.5) 233
(500, 0.9) 284
5% (100, 0.2) 240.85 3.55 × 10−1 0.7935 8.11 × 10−1 5393.44 241
(300, 0.1) 213
(450, 0.5) 243
(500, 0.9) 266
10% (100, 0.2) 241.44 6.02 × 10−1 0.7817 2.28 23,673.38 255
(300, 0.1) 227
(450, 0.5) 273
(500, 0.9) 280