Abstract
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.
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