In this talk a new meshless and integration-free numerical scheme for solving an inverse heatconduction problem will be discussed. The numerical scheme is developed based on the use of the fundamentalsolution as a radial basis function. To regularize the resultant ill-conditioned linear system of equations, weapply successfully both the Tikhonov regularization technique and the L-cu...

Determining the diffusion coefficient based on the solution of the linear inverse problem of the parameter estimation by using the Least-square method is presented. A set of temperature measurements at a single sensor location inside the heat conducting body is required. The corresponding direct problem will be solved by an application of the heat fundamental solution.

This work deals with an inverse boundary value problem arising from the equation of heat conduction. Mathematical theory and algorithm is described in dimensions 1–3 for probing the discontinuous part of the conductivity from local temperature and heat flow measurements at the boundary. The approach is based on the use of complex spherical waves, and no knowledge is needed about the initial tem...

This paper investigates a variational approach to the nonlinear stochastic inverse problem of probabilistically calibrating the Robin coefficient from boundary measurements for the steady-state heat conduction. The problem is formulated into an optimization problem, and mathematical properties relevant to its numerical computations are investigated. The spectral stochastic finite element method...

The transient heat transfer rate from a free-falling large drop of molten lead to a cold plate surface maintained at about room temperature was experimentally estimated by solving the inverse heat conduction problem, taking into account the time variation of the area covered by the drop. Furthermore, the change with time in thickness of the solidification layer formed within the drop was estima...