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Inverse source identification by Green's function

机译:通过格林函数进行逆源识别

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摘要

Based on the use of Green's function, we propose in this paper a new approach for solving specific classes of inverse source identification problems. Effective numerical algorithms are developed to recover both the intensities and locations of unknown point sources from scattered boundary measurements. For numerical verification, several boundary value problems defined on both bounded and unbounded regions of regular shape are given. Due to the use of closed analytic form of Green's function, the efficiency and accuracy of the proposed method can be guaranteed.
机译:基于格林函数的使用,我们在本文中提出了一种用于解决特定类别的逆源识别问题的新方法。开发了有效的数值算法,以从分散的边界测量中恢复未知点源的强度和位置。为了进行数值验证,给出了在规则形状的有界和无界区域上定义的几个边值问题。由于采用了格林函数的封闭解析形式,因此可以保证所提方法的效率和准确性。

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