Abstract
In this study, two Element Free Galerkin analyses using two influence radii are presented. One is implemented for one nodal points layout and provides p-like adaptivity, and the other is implemented for different nodal points layouts and multi-scale analysis. The solution of the analyses can be divided into global and local parts and they are caught simultaneously. In this research, analysis using shape function based on large influence radius provides global solutions, while solutions based on small influence radius can be regarded as local solutions or errors when the number of nodes is sufficient. Some numerical examples for the proposed p-like adaptivity show comparable or better convergence of results compared with other methods. Numerical examples for the proposed multi-scale method show that local solutions can catch local fluctuation separated from global solutions.
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© 2005 Springer-Verlag Berlin Heidelberg
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Masuda, S., Noguchi, H. (2005). Multi-scale Analysis Using Two Influence Radii in EFGM. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations II. Lecture Notes in Computational Science and Engineering, vol 43. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-27099-X_8
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DOI: https://doi.org/10.1007/3-540-27099-X_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23026-7
Online ISBN: 978-3-540-27099-7
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