Open AccessA coupled Meshless-FEM method based on strong form of Radial Point Interpolation Method (RPIM)
Author(s) -
Redouane El Kadmiri,
Youssef Belaasilia,
Abdelaziz Timesli,
Moulay S. Kadiri
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1743/1/012039
Subject(s) - interpolation (computer graphics) , finite element method , collocation (remote sensing) , point (geometry) , coupling (piping) , work (physics) , mathematics , regularized meshless method , interface (matter) , mathematical analysis , computer science , singular boundary method , engineering , geometry , structural engineering , mechanical engineering , boundary element method , animation , computer graphics (images) , bubble , machine learning , maximum bubble pressure method , parallel computing
In this present work, we are implementing a novel hybrid method based on the coupling of RPIM in strong form and Finite Element Method (FEM). The basic idea is to ensure the coupling between the two methods through the collocation technique based on RPIM interpolation. This technique is used to evaluate the local equations of the problem at the interface between FEM and RPIM regions. We can avoid numerical integrations of a big part of nodes using the strong form of RPIM. Numerical studies show that this method gives reasonably accurate results consistent with the theory.