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Table 3 Comparison between the simulated and measured temperature for multiple measurements

From: Identification of the blood perfusion rate for laser-induced thermotherapy in the liver

 

\(L^{\infty }\)-error

\(L^{2}\)-error

gradient descent

  

temperature T

4.068 (0.989%)

0.466 (0.372%)

radiative energy φ

3819 (1.053%)

5.914 (0.097%)

tissue damage δ

0.166 (16.6%)

0.002 (1.934%)

L-BFGS

  

temperature T

2.771 (0.674%)

0.253 (0.2%)

radiative energy φ

2443 (0.674%)

3.437 (0.057%)

tissue damage δ

0.105 (10.46%)

0.001 (1.373%)