中文摘要：

提出了基于热湿传递稳态模型的纺织材料厚度设计反问题,并根据正则化思想将反问题的求解归结为函数极小化问题。利用常微分方程组的正演算法与函数极小化问题的一维搜索,构造了反问题正则化解的一类迭代算法,并证明了算法的收敛性。数值模拟试验验证了算法的有效性和反问题提法的合理性。

英文摘要：

Based on the model of steady-state heat and moisture transfer through textiles,the authors propose an inverse problem of thickness design for textile material.According to the idea of regularization method,the inverse problem can be formulated by a function minimization problem.Combining the finite difference algorithm for ordinary differential equations with search method of one-dimensional minimization problem,the authors derive an iteration algorithm of regularized solution for the inverse problem.Convergence of the algorithm is proved theoretically.Numerical simulation is also achieved in order to verify the validity of methods.