Table 2.
Results of calculations in case of Hooke–Jeeves algorithm: —reconstructed value of thermal conductivity coefficient; —reconstructed value of x-direction derivative order; —the relative error of reconstruction; J—the value of objective function; —number of evaluation objective function; —starting point.
Mesh Size | Noise | SP | J | |||||
---|---|---|---|---|---|---|---|---|
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 |