A self-adaptive precise algorithm in the time domain is presented for convective heat transfer problems.By expanding variables at a discretized time interval,a time and space coupled problem is converted into a series of boundary value problems.Based on a finite element method,a recursive and self-adaptive computation is conducted without the requirement of additional assumption and iteration for non-linear analysis.A couple of examples with high accuracy are shown.

Taking Bregman D-Function as a regularization function, we present a general numerical model to identify the multi-variables, including thermal parameters and boundary conditions. A time stepping scheme is used for the transient analysis and a homotopy method is adopted to solve the process. Both the data with measurement errors and the initial value are used to indentify these parameters. The numerical validation exhibits good results.

We present a general numerical model for the hyperbolic inverse heat conduction problem with multi-variables, which includes thermal parameters and boundary conditions. A finite element numerical model is developed to formulate a direct problem and a discrete algorithm in the time domain is used for transient analysis. Including material inhomogeneity and distributive parameters, a least-square optimal model is developed for the inverse problem. A conjugate gradient method is adopted. Measurement errors and different time step are used to identify the parameters. Numerical validations are shown.

A general numerical model is presented to identify multi_variables,including thermal parameters and boundary conditions for inverse heat conduction problems in transient state.Sensitivity formulas are derived.A conjugate gradient technique is employed.The effects of the number of sample points,the data noise and initial guess on solutions are given.A numerical calculation is performed and discussed.