Almost everywhere partition of unity to deal with essential boundary conditions in meshless methods

DOI10.1016/j.cma.2009.06.013zbMath1230.74231OpenAlexW2013303665MaRDI QIDQ660379

Jae Woo Jeong, Hae-Soo Oh

Publication date: 1 February 2012

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.2009.06.013

zbMATH Keywords

partition of unity function with flat-topreproducing polynomial particle (RPP) shape functionsalmost everywhere partition of unitypatchwise arbitrary spaced particlespatchwise RPPM

Mathematics Subject Classification ID

Related Items (8)

The generalized product partition of unity for the meshless methods ⋮ Reproducing polynomial particle methods for boundary integral equations ⋮ Meshfree particle methods for thin plates ⋮ Imposing nonlocal boundary conditions in Galerkin-type methods based on non-interpolatory functions ⋮ A new partition of unity finite element free from the linear dependence problem and possessing the delta property ⋮ Implementation of boundary conditions in BIEs-based meshless methods: a dual boundary node method ⋮ A non-convex partition of unity and stress analysis of a cracked elastic medium ⋮ Exact imposition of essential boundary condition and material interface continuity in Galerkin‐based meshless methods

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