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Electric Charge Gaussian Gradation Method (ECGGM): A technique for improving material interface representations for the radial point interpolation method
Author(s) -
Oliveira Rodrigo M. S.,
Brandão Marcelo B. S.,
Sousa Washington C. B.
Publication year - 2017
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2303
Subject(s) - discretization , interpolation (computer graphics) , point (geometry) , gaussian , coulomb , node (physics) , electric field , numerical analysis , space (punctuation) , gaussian function , mathematical analysis , mathematics , computer science , mathematical optimization , physics , geometry , electron , computer vision , acoustics , motion (physics) , quantum mechanics , operating system
An 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.