研究由一振动体的部分边界测量数据再构振动体内部场的逆问题.提出基于偏微分方程控制方法的一种算法,并证明原用于处理散射问题的Null-field method 可用来求解优化问题的随伴问题.%An inverse problem reconstructing the interior acoustic field of a bounded vibrator from measured partial surface data is considered in this paper. An algorithm based on the control theory of partial differential equations is proposed. It is also shown that the Null-field method originally developed in the problem of acoustic scattering can be used to solve the corresponding adjoint problem of the optimal problem.
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