Figures & data
Figure 1. The three-dimensional inverse problem to be solved for the temperature distribution Tl(x,y).
Figure 2. Schematic of grid meshing of the plate for two-dimensional test cases.
Figure 3. Thermal resistance distribution of the one-dimensional heat transfer problem of the plate.
Figure 4. Temperature distributions at the inspection surface for test Case A and Case B.
Figure 5. Identification results of the temperature distributions when no measurement error is considered for Case A and Case B (ϵ = 0.001).
Table 1. Relationship between the measurement error and the ARE of identification results.
Figure 6. Identification results of temperature distributions when random measurement error is considered.
Figure 7. Exact temperature distributions to be determined for Case C and Case D.
Figure 8. Initial identification results of temperature distributions according to function (12).
Figure 9. Final identification results of temperature distributions for Case C and Case D (ϵ = 0.001).
Figure 10. Identification results of temperature distributions for Case C and Case D with random measurement error in consideration (σ = 1.0%).
Figure 11. Identification results of temperature distributions for Case C and Case D with random measurement error in consideration (σ = 2.0%).
