... in the estimation process. The mathematical model as well as the initial condition are supposed to have some errors, which were taken into account in the probabilistic evolution model used for the filter. Also, the results using different grid sizes and patterns for the direct and inverse problems were used...

...Helcio R. B. Orlande Systematic methods for the solution of inverse problems have developed significantly during the past two decades and have become a powerful tool for analysis and design in engineering. Inverse analysis is nowadays a common practice in which teams involved with experiments...

... on the current state of the art in various areas. Besides those mentioned above, the topics include turbulent flows, porous media transport, experiments in space, multiscale problems, computational heat transfer, food processing, transport in microchannels, inverse problems, phase-change, and many others...

...Carolina P. Naveira-Cotta; Helcio R. B. Orlande; Renato M. Cotta This work presents the combined use of the integral transform method, for the direct problem solution, and of Bayesian inference, for the inverse problem analysis, in the simultaneous estimation of spatially variable thermal...

... temperature measuring points. For the inverse problem of heat transfer in the mold, the heat flux distribution q 1 ( θ ) at the metal-mold interface is regarded as being unknown. The purpose of solving the inverse problem is to estimate heat flux distribution q 1 , i...

...-film thickness was represented by 100 design variables, and the electrical potential at each electrode were also design variables. The topology optimization problem (inverse problem) has been solved with two methods, i.e., with a genetic algorithm (GA) and with a conjugate gradient method using adjoint...

... , San Francisco, CA, July 19–23. Beck , J. V. , and Osman , A. M. , 1989 , “ Nonlinear Inverse Problem for the Estimation of Time-and-Space Dependent Heat Transfer Coefficients ,” J. Thermophys. Heat Transfer 0887-8722 , 3 ( 2 ), pp. 146 – 152 . 10.2514/3.141 Yang , C. Y...

... International Conference on Inverse Problems in Engineering , K. Woodbury , ed., ASME , New York . Tanaka , M. , Matsumoto , T. , and Oida , S. , 1998 , “ Identification of Unknown Boundary Shape of Rotationally Symmetric Body in Steady Heat Conduction Via BEM and Filter Theories...

...Shiping Zhou; Minggen Cui In this paper, we consider solving for a coefficient inverse problem in the parabolic equation. A new numerical method for the identification of the space-dependent coefficient is developed in a reproducing kernel space. The coefficients can be solved by a lower triangle...

... is not used for the MODCM is that the criterion 8a showed its advantages when solving the inverse problem based on thermographic temperature measurement ( 15 ). The elements of the two vectors P ′ and P ″ in Eq. 5 or Eq. 6 can be determined based on the following functions...

..., which is a combination of the modified inverse algorithm proposed by Ozisik et al. ( Huang and Ozisik, 1992, “Inverse Problem of Determining Unknown Wall Heat Flux in Laminar Flow Through a Parallel Plate Duct,” Numer. Heat Transfer, Part A 21, pp. 2615–2618) and the general inverse algorithm based...

... is indicated in Fig. 1 . The slab material has constant thermal conductivity k , density ρ , and specific heat capacity c . The inverse problem is modeled by the 1D heat conduction in Eq. 1 , the initial condition in Eq. 2 , and the boundary condition at the thermally insulated surface x...

... Patankar , S. V. , 1980 , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington, DC . Hestenes , M. R. , 1980 , Conjugate Direction Methods in Optimization , Springer-Verlag , New York , Chap. 4. Alifanov , O. M. , 1974 , “ Solution of an Inverse Problem of Heat...

... ) U T ) B The regularization of an inverse problem consists in adding information to improve the stability of the solution with regard to the measurement noise and∕or to select a type of solution among all those possibilities. The ill-conditioned character of matrix A results...

... element analysis heat transfer infrared imaging inverse problems thermal variables measurement turbulence The difference in temperature calculated was less than 0.2 ° C for pixels that were less than 8 mm ( 40 pixels ) from the centerline. This distance...

... at the boundaries, is presented. The differential discrete ordinate method is employed to solve the radiative transfer equation. The present analysis considers three types of simple scattering phase functions. The inverse problem is solved through minimization of a performance function, which is expressed...

... advantages and disadvantages of these methods are summarized. 09 03 2005 03 08 2005 inverse problems heat radiation singular value decomposition conjugate gradient methods minimisation simulated annealing Monte Carlo methods maximum likelihood estimation A number of papers...

... the inlet temperature and outer-wall heat flux simultaneously in turbulent pipe flow. 30 09 2004 16 07 2005 heat transfer pipe flow boundary layer turbulence inverse problems differential equations least squares approximations conjugate heat transfer inverse method numerical...

...A. E. Segall 30 06 2004 24 05 2005 inverse problems least squares approximations heat conduction Despite the versatility of numerical approaches to the inverse problem (Beck et al. ( 1 ) and Xue et al. ( 2 )), there is still a strong need for analytical solutions...

.... , Maliarenko , V. A. , and Multanovskii , A. V. , 1979 , “ Identification of Time-Variable Coefficients of Heat Transfer by Solving a Nonlinear Inverse Problem of Heat Conduction ,” J. Eng. Phys. , 35 ( 3 ), pp. 1094 – 1098 . Woodbury, K. A., and Jin X., 1995, “A Temperature-Based Sequential...