Reproducing polynomial particle methods for boundary integral equations

DOI10.1007/s00466-011-0581-xzbMath1273.65189OpenAlexW2067267323MaRDI QIDQ416106

June G. Kim, Hae-Soo Oh, Yong-Hoon Kwon, Christopher B. Davis

Publication date: 9 May 2012

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-011-0581-x

zbMATH Keywords

Boundary element method (BEM)Boundary node method (BNM)closed form reproducing polynomial particle (RPP) shape functionsMoving least squares methodReproducing kernel particle (RKP) shape functionsReproducing singularity particle shape functions

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Enriched meshfree method for an accurate numerical solution of the Motz problem ⋮ Meshfree particle methods in the framework of boundary element methods for the Helmholtz equation ⋮ Enriched isogeometric analysis of elliptic boundary value problems in domains with cracks and/or corners ⋮ Mapping techniques for isogeometric analysis of elliptic boundary value problems containing singularities ⋮ Elastodynamic problems by meshless local integral method: analytical formulation ⋮ A non-convex partition of unity and stress analysis of a cracked elastic medium

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