An extended version of the discrete Kalman filter applied to a nonlinear inverse heat conduction problemVersion étendue du filtre de Kalman discret appliquée à un problème inverse de conduction de chaleur non linéaire

2000 ◽  
Vol 39 (2) ◽  
pp. 191-212
Author(s):  
N Daouas
Keyword(s):  
Kalman Filter ◽  
Heat Conduction ◽  
Inverse Heat Conduction ◽  
Extended Version ◽  
Problème Inverse

Inversion Algorithm Based on the Unscented Kalman Filter for Inverse Heat Conduction Problems

2013 ◽  
Vol 705 ◽  
pp. 474-482
Author(s):  
Pan Chu
Keyword(s):  
Kalman Filter ◽  
Heat Conduction ◽  
Unscented Kalman Filter ◽  
Initial Conditions ◽  
Measurement Data ◽  
Measurement Information ◽  
Inverse Heat Conduction ◽  
Space Problem ◽  
Inversion Model ◽  
Inverse Heat Conduction Problems

The inverse heat conduction problems (IHCP) analysis method provides a promising approach for acquiring the thermal physical properties of materials, the boundary conditions and the initial conditions from the known temperature measurement data, where the efficiency of the inversion algorithms plays a crucial role in real applications. In this paper, an inversion model that simultaneously utilizes the process evolution information of the objects to be estimated and the measurement information is proposed. The original IHCP is formulated into a state-space problem, and the unscented Kalman filter (UKF) method is developed for solving the proposed inversion model. The implementation of the proposed method does not require the gradient vector, the Jacobian matrix or the Hessian matrix, and thus the computational complexity is decreased. Numerical simulations are implemented to evaluate the feasibility of the proposed algorithm. For the cases simulated in this paper, satisfactory results are obtained, which indicates that the proposed algorithm is successful in solving the IHCP.

Models and Methods of Semi-Infinite Optimization Inverse Heat-Conduction Problems

2006 ◽  
Vol 37 (3) ◽  
pp. 221-232 ◽  
Author(s):  
E. Ya. Rapoport ◽  
Yu. E. Pleshivtseva
Keyword(s):  
Heat Conduction ◽  
Inverse Heat Conduction ◽  
Inverse Heat Conduction Problems

An Inverse Heat Conduction Study Using Time Travelling Regularization

2017 ◽  
Author(s):  
Natan Araujo Moura Leite ◽  
Rodrigo Gustavo Dourado da Silva ◽  
Elisan dos Santos Magalhães ◽  
Sandro Metrevelle Marcondes de Lima e Silva
Keyword(s):  
Heat Conduction ◽  
Inverse Heat Conduction

A NONLINEAR INVERSE HEAT CONDUCTION TECHNIQUE TO ESTIMATE THERMAL PROPERTIES OF METALS

2020 ◽  
Author(s):  
Mariana de Melo Antunes ◽  
Rodrigo Gustavo Dourado da Silva ◽  
Nícolas Pinheiro Ramos ◽  
Sandro Metrevelle Marcondes de Lima e Silva
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Inverse Heat Conduction
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