重构导热方程源项的反问题
Reversing Inverse Problem of Source Term of Heat Conduction Equation
摘要:
本文将终端观测值应用在依赖热源的导热方程的反问题中。该问题在应用科学领域具有重要的应用。本文基于最优控制框架的基础上，建立了控制函数最小化的存在性和必要条件。应用Landweber迭代算法在该问题中，并得到了数值模拟结果。
Abstract:
In the paper, terminal observations are applied to the inverse problem of heat-transfer equations that rely on heat sources. This problem has important applications in the field of applied science. Based on the optimal control framework, the existence and necessary conditions of minimization of control functions are established. The Landweber iterative algorithm is applied in this problem, and the numerical simulation results are obtained.
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