同伦正则化算法求解多宗量瞬态热传导反问题

An Inverse Heat Conduction Problem with Multi-variables in a Transient State with a Homotopic Regularization Method

以Bregman距离函数作为正则化泛函,建立了多宗量瞬态热传导反演的一种求解模式,可对导热系数和边界条件等进行联合识别.时域上采用精细算法进行离散,并应用同伦算法进行求解.对信息的测量误差和初值选取作了初步探讨,并进行了数值验证.

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.