Abstract
AbstractAn improved meshless discretization methodology, based on the Coulomb's law discretization method, is introduced. With the presented improvement, it is possible to naturally and controllably increase the density of nodes around edges and corners of scatterers immersed in analysis space. This is achieved by gradually modifying node's charges across space according to Gaussian functions. It is observed that higher concentration of nodes in the neighborhood of media interfaces substantially improves the precision of numerical solutions of Maxwell's equations obtained with the radial point interpolation method. This improvement is justified by refined calculation of intense spatial field variations near the boundaries. Several other relevant benefits resulting from the new technique are observed and highlighted.
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