ABSTRACT

In this paper, we study the convergence of a coefficient inverse problem for the two dimensional semi-discrete damped wave equation. Based on the new discrete Carleman estimates for the semi-discrete wave operator, the uniform stability estimate is proved. Then we prove the convergence of the semi-discrete scheme with respect to the discretization grid step h>0.

中文翻译：

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半离散阻尼波动方程系数反问题的收敛性分析

摘要

在本文中，我们研究了二维半离散阻尼波动方程的系数反问题的收敛性。基于新的半离散波算子离散Carleman估计，证明了一致稳定性估计。然后我们证明了半离散方案关于离散网格步长h > 0 的收敛性。