Estimation of Locations and Magnitudes of Point Sources for Multidimensional Poisson Equation

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  • 多次元ポアソン方程式に対する点ソースの位置と強度の直接的推定法
  • タジゲン ポアソン ホウテイシキ ニ タイスル テン ソース ノ イチ ト キ

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Abstract

This papar discusses an inverse source problem for multidimensional Poisson equation. The source term is expressed by a sum of several point sources. We propose a reliable method to estimate unknown locations and magnitudes of point sources under the condition that the potential and flux are observed on the boundary. Our method is based on a weighted residual approach using harmonic functions for weighting functions and need not use a direct analysis for the governing equation. The effectiveness of the method is illustrated with numerical examples.

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