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Table 2 Comparison between the simulated and measured temperature for a single measurement

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

 

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

\(L^{2}\)-error

gradient descent

  

temperature T

8.684 (2.111%)

0.916 (0.731%)

radiative energy φ

9931 (2.738%)

27.711 (0.456%)

tissue damage δ

0.863 (86.26%)

0.017 (19.05%)

L-BFGS

  

temperature T

3.789 (0.921%)

0.413 (0.33%)

radiative energy φ

7002 (1.93%)

9.092 (0.15%)

tissue damage δ

0.253 (25.295%)

0.002 (1.8%)

ξ = 0

  

temperature T

44.835 (10.9%)

2.629 (2.098%)

radiative energy φ

2.103 × 105 (57.985%)

372.502 (6.129%)

tissue damage δ

1 (100%)

0.063 (69.422%)