Solution of the Inverse Radiative Load Problems by the Singular Value Decomposition

Restitution of the Temperature Field Inside a Cylinder of Semitransparent Dense Medium From Directional Intensity Data

“…These results indicate that matrix C is highly ill-conditioned for a large number of cells, greater than the step number. Since C is ill-conditioned, a powerful way widely used to obtain an approximate solution is to minimise the residual ( ) g -T L C 0 λ by zeroing the small eigenvalues [10,13,17]. To do so, one chooses a regularisation parameter α such that if…”

“…Viskanta et al [11] used restitution techniques from deep area optical measurements, but due to the particular geometry of the system, only spectral intensities where investigated. Generally devoted to the "best" way in regularising the experimental data for determining internal sources from emerging intensities, like in [12,13], these approaches for dense media do not take advantage of the particular properties of the operator governing the problem's physics, specially interesting in cylindrical geometry.…”

Optimal Boundary Design of Radiant Enclosures Using Micro-Genetic Algorithm (Effects of Refractory Properties and Aspect Ratio of Enclosure on Heaters Setting)

“…Some examples for design and control of radiation sources can be found in the papers by Erturk et al (1) , Kudo et al (2), (3) , Howell et al (4) , Franca et al (5) and Daun et al (6) . They compared various regularization techniques and applied them to inverse design problems for radiation-dominant environment.…”