Ritz逼近方法在热源识别问题中的应用
Ritz Approximation Method for Inverse Source Problem of Heat Equation
本文我们考虑了一维热方程中的热源识别问题，由于问题的不适定性，我们采用Ritz逼近方法来恢复解对定解数据的连续依赖性，并得到了稳定的收敛性估计。数值实验表明该正则化方法的有效性。
In this paper, we consider an inverse source problem for one-dimensional heat equation, under the initial, boundary conditions and a over-specified condition given at the final time, from which the source function can be reconstructed. Due to the ill-posedness of the problem, we use Ritz-approximation method to overcome the instability. A Convergence result is given and several numerical examples are used to illustrate the efficiency of our method.
孟晋华
数学物理学
不适定问题反热源Ritz逼近正则化
Ill-posed problemInverse sourceRitz-approximationRegularization
孟晋华.Ritz逼近方法在热源识别问题中的应用[EB/OL].(2009-04-09)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200904-296.点此复制
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