A Boundary-Element Inverse Analysis Procedure for Estimation of Thermal Properties in Transient Heat Conduction.

Inverse Estimation of Boundary Heat Flux for Heat Conduction Model

Mathematical model of direct and inverse problems is developed for the flat plate probe which is subjected to timedependent heat flux at one end, while the other end is kept insulated. The direct solution, which is concerned with determination of the temperature distribution in the probe, is developed using an approach based on the method of variation of parameters. The direct solution is used ...

A novel computational procedure based on league championship algorithm for solving an inverse heat conduction problem

Inverse heat conduction problems, which are one of the most important groups of problems, are often ill-posed and complicated problems, and their optimization process has lots of local extrema. This paper provides a novel computational procedure based on finite differences method and league championship algorithm to solve a one-dimensional inverse heat conduction problem. At the beginning, we u...

A Regular Indirect Boundary Element Method for Thermal Analysis

A Regular Indirect Boundary Element Method for Thermal Analysis

Boundary temperature reconstruction in an inverse heat conduction problem using boundary integral equation method

‎In this paper‎, ‎we consider an inverse boundary value problem for two-dimensional heat equation in an annular domain‎. ‎This problem consists of determining the temperature on the interior boundary curve from the Cauchy data (boundary temperature and heat flux) on the exterior boundary curve‎. ‎To this end‎, ‎the boundary integral equation method is used‎. ‎Since the resulting system of linea...