... 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...

... inference is of a good anti-ill-posed characteristic. 05 10 2010 25 02 2011 03 05 2011 03 05 2011 casting conjugate gradient methods estimation theory fuzzy reasoning heat transfer inverse problems thermocouples inverse approach fuzzy inference heat flux...

...-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...

... 09 2009 04 03 2010 04 03 2010 elasticity erosion furnaces heat conduction inverse problems refractories smelting inverse problems shape determination refractory wall wall erosion shape design hearth wear Walls of furnaces that contain molten materials (metal...

...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...

... interface phenomena inverse problems iterative methods inverse heat conduction problem interfacial configuration multiple region domain inverse identification modified one-dimensional correction method Recently, inverse geometry problems, which are commonly encountered in a number...

..., 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...

... , 14b . 07 09 2007 13 07 2008 11 12 2008 differentiation heat conduction inverse problems method of lines slabs spatiotemporal phenomena boundary inverse heat conduction problem (BIHCP) method of lines (MOL) numerical differentiation It has been said...

... problem described above, the velocity distribution, initial conditions, and boundary conditions are all known, and thus the temperature distribution in the flow field and the upper disk is easily derived. However, in the inverse problem, the dimensionless heat flux Q ( R , τ ) acting...

... problems using BEM ( 12 13 ) and also FEM ( 14 15 ) using the adjoint method. None of them use real experiments. However, the main difficulties for inverse problem are their ill-posed problem character. As a consequence, the solution might become unstable considering measurement errors. In order...

... 09 04 2007 finite element analysis heat transfer infrared imaging inverse problems thermal variables measurement turbulence heat transfer coefficient rapid experimental technique internal flow optical This study was undertaken to develop a technique for quickly...

... 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...

... on the incomplete conjugate gradient minimization of the degenerate functional F ( x ) = [ A ( x exact − x ) ] ∙ ( x exact − x ) , which is minimized when ∥ A x − b ∥ = 0 . For inverse problems, each...

.... The proposed method has the further advantages that the unknown quantities of the thermal boundary conditions can be estimated directly and the inverse problem can be solved in a linear domain. For the above reasons, the method can provide solutions of the inverse problem very fast. It takes about 5 s...

...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...

.... 26 February 2002 19 November 2003 16 06 2004 temperature measurement inverse problems heat conduction estimation theory Conduction Heat Transfer Inverse Numerical Methods In order to validate the inverse algorithm, the previous formulation of the direct problem...