中文摘要：

引入Bregman距离加权函数，建立了多宗量瞬态热传导反演的一种求解模式。时域上采用精细算法，分别建立了便于敏度分析的有限元正／反演模型，应用同伦算法进行反问题求解，对导热系数和边界条件等宗量进行有效的组合识别。对信息误差和计算效率作了探讨，并给出了相应的数值验证。

英文摘要：

Abstract This paper presents a general numerical model to identify multi-variables for the inverse heat conduction problems in transient state, taking weighted Bregman distances function. A time stepping scheme is used for transient analysis and the finite element model is given, facilitating to sensitivity analysis for direct and inverse problems. Combined identifications can be carried out for thermal parameters and boundary conditions etc. using homotopy method. Satisfactory numerical validation is given including a preliminary investigation of effect of noise data on the results and the computational efficiency for different regularization terms.