宁夏大学学报（自然科学版）2017，Vol.38Issue(3)：229-233,5.
一种反演抛物型方程未知系数的全变差正则化方法
A Total Variation Regularization Method for Identifying An Unknown Coefficient of A Parabolic Equation
摘要
Abstract
Based on the optimal control framework,a numerical method for solving the unknown coefficient of the two order parabolic equation is discussed by using the total variation regularization method.Combining with the direct problem a necessary condition for the satisfaction of unkown coefficients is deduced.Through the introduction of a "polished" total variation regularization term,the numerical solution of the unknown coefficients is reconstructed.关键词
反问题/抛物型方程/全变差/最优控制Key words
inverse problem/parabolic equation/total variation/optimal control分类
数理科学引用本文复制引用
李照兴,张雷,胡志东..一种反演抛物型方程未知系数的全变差正则化方法[J].宁夏大学学报（自然科学版）,2017,38(3):229-233,5.基金项目
国家自然科学基金资助项目(11261029,11461039) （11261029,11461039）
