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A Numerical Way of Determining the Boundaries of a System of Bodies in a Three-Dimensional Medium by Means of Integral Equations
Moscow University Computational Mathematics and Cybernetics Pub Date : 2018-08-23 , DOI: 10.3103/s0278641918030056 S. G. Golovina , E. V. Zakharov
Moscow University Computational Mathematics and Cybernetics Pub Date : 2018-08-23 , DOI: 10.3103/s0278641918030056 S. G. Golovina , E. V. Zakharov
The propagation of acoustic waves in a three-dimensional medium with several local inhomogeneities of different shapes is analyzed. Solving the inverse problem of determining boundaries of local inhomogeneities from measurements of a field in a bounded receivers location domain is reduced to a system of integral equations. An iteration approach to solving the inverse problem is proposed, and the results from numerical experiments are presented.
中文翻译:
用积分方程确定三维介质中系统边界的数值方法
分析了声波在三维介质中的传播,该介质具有几种不同形状的局部不均匀性。解决由有界接收器位置域中的场的测量确定局部不均匀性的边界的反问题被简化为积分方程组。提出了一种求解反问题的迭代方法,并给出了数值实验的结果。
更新日期:2018-08-23
中文翻译:
用积分方程确定三维介质中系统边界的数值方法
分析了声波在三维介质中的传播,该介质具有几种不同形状的局部不均匀性。解决由有界接收器位置域中的场的测量确定局部不均匀性的边界的反问题被简化为积分方程组。提出了一种求解反问题的迭代方法,并给出了数值实验的结果。