Premium
A perfectly matched layer formulation based on auxiliary differential equations for truncating radial point interpolation method meshless domains
Author(s) -
Oliveira Rodrigo M. S.,
Brandão Marcelo B. S.,
Sousa Washington
Publication year - 2018
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.2340
Subject(s) - interpolation (computer graphics) , point (geometry) , mathematical analysis , mathematics , reflection (computer programming) , regularized meshless method , differential equation , physics , geometry , computer science , finite element method , singular boundary method , classical mechanics , motion (physics) , boundary element method , thermodynamics , programming language
An auxiliary‐differential equation perfectly matched layer formulation is developed for the first time for truncating radial point interpolation method meshless domains. Absorption parameters are optimized, producing maximum relative reflection error of −84.14 dB when 10 layers are used. The developed formulation is also validated by calculating the radar cross section of a metallic cylindrical scatterer, which has a known analytical solution.