Combinations of the method of fundamental solutions for general inverse source identification problems

Wang F.; Chen W.; Ling L.

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Combinations of the method of fundamental solutions for general inverse source identification problems

机译：广义逆源识别问题基本解法的组合

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In this paper, a new general scheme, based on the method of fundamental solutions, is presented for inverse source identification problems. This is fulfilled by coupling a linear combination of fundamental solutions and radial basis functions associated with particular solutions. Under this scheme, we can determine harmonic and nonharmonic source terms from partially accessible boundary measurements. Numerical results for several general inverse source identification problems show that the proposed numerical algorithm is simple, accurate, stable and computationally efficient.

机译：本文提出了一种基于基本解法的逆源识别问题的通用方案。这是通过将基本解和与特定解关联的径向基函数的线性组合耦合来实现的。在此方案下，我们可以从部分可访问的边界测量结果中确定谐波和非谐波源项。几个通用逆源识别问题的数值结果表明，所提出的数值算法简单，准确，稳定且计算效率高。

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《Applied mathematics and computation》 |2012年第3期|共10页
作者
Wang F.; Chen W.; Ling L.;
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Dual reciprocity method; Laplace equation; Method of fundamental solutions; Nonharmonic source function; Nonhomogeneous Cauchy problem;

机译：对偶互易法;拉普拉斯方程;基本解法;非调和源函数;非齐次柯西问题;

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Combinations of the method of fundamental solutions for general inverse source identification problems

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