The least‐squares meshfree method

DOI10.1002/nme.248zbMath0992.65123OpenAlexW1996773966MaRDI QIDQ2770898

Sung-Kie Youn, Sang-Hoon Park

Publication date: 13 February 2002

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.248

zbMATH Keywords

numerical examplesGalerkin's methodleast squares methodmeshfree finite element method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (9)

Spline-based meshfree method ⋮ Dispersion and pollution of the improved meshless weighted least-square (IMWLS) solution for the Helmholtz equation ⋮ A meshless Galerkin least-square method for the Helmholtz equation ⋮ Coupled partition of unity method and improved meshless weighted least-square method for two-dimensional interior structure-acoustic problem ⋮ A Cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems ⋮ Cavity flow simulation of Carreau-Yasuda non-Newtonian fluids using PIM meshfree method ⋮ The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method ⋮ The least-squares meshfree method for the steady incompressible viscous flow ⋮ Least-squares mixed finite elements for small strain elasto-viscoplasticity

Cites Work

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• The partition of unity finite element method: basic theory and applications
• Double grid diffuse collocation method
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• Element‐free Galerkin methods
• A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
• Reproducing kernel particle methods

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