A reliable estimation method for locations of point sources for an n-dimensional Poisson equation
A reliable estimation method for locations of point sources for an n-dimensional Poisson equation
复制标题
n维泊松方程点源位置的可靠估计方法
DOI：
10.1016/s0307-904x(96)00087-x
复制
发表时间：
1996
影响因子：
5
通讯作者：
K. Ohnaka
中科院分区：
文献类型：
--
作者：
K. Yamatani;K. Ohnaka
讨论了具有多个点源的 n 维泊松方程的逆源问题。本文提出了一种在每个位置都限制在某个区域内的情况下估计点源未知位置的可靠方法。我们的方法基于加权残差方法，使用调和函数作为加权函数，并通过减少包含每个位置的区域来执行。我们还表明这些区域收敛到真实位置。通过一些数值例子说明了该方法的有效性。
An inverse source problem is discussed for an n-dimensional Poisson equation with several point sources. This paper presents a reliable method of estimating unknown locations of point sources under the condition that each location is bounded in a certain region. Our method is based on a weighted residual approach using harmonic functions for weighting functions and carried out by reducing the region containing each location. We also show that these regions are converged to true locations. The effectiveness of the method is illustrated by some numerical examples.