The closed form reproducing polynomial particle shape functions for meshfree particle methods

DOI10.1016/j.cma.2007.03.012zbMath1173.65303OpenAlexW2000624095MaRDI QIDQ1033266

June G. Kim, Hae-Soo Oh, Jae Woo Jeong

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2007.03.012

zbMATH Keywords

reproducing kernel particle method (RKPM)non-uniformly distributed particlesreproducing kernel particle (RKP) shape functionsthe closed form reproducing polynomial particle (RPP) shape functionstranslation invariant particles

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10)

Related Items

Enriched meshfree method for an accurate numerical solution of the Motz problem ⋮ The generalized product partition of unity for the meshless methods ⋮ Meshfree particle methods in the framework of boundary element methods for the Helmholtz equation ⋮ Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems ⋮ Reproducing polynomial particle methods for boundary integral equations ⋮ Meshfree particle methods for thin plates ⋮ Reproducing polynomial (singularity) particle methods and adaptive meshless methods for two-dimensional elliptic boundary value problems ⋮ Almost everywhere partition of unity to deal with essential boundary conditions in meshless methods ⋮ The piecewise polynomial partition of unity functions for the generalized finite element methods ⋮ A non-convex partition of unity and stress analysis of a cracked elastic medium

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