Higher order multipoint method -- from Collatz to meshless FDM

DOI10.1016/j.enganabound.2014.09.007zbMath1403.74279OpenAlexW2087448959MaRDI QIDQ1653617

Irena Jaworska, Janusz Orkisz

Publication date: 6 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.09.007

zbMATH Keywords

moving least squaresmeshless methodhigher order approximationmultipoint finite difference method

Mathematics Subject Classification ID

Finite difference methods applied to problems in solid mechanics (74S20) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (6)

On nonlinear analysis by the multipoint meshless FDM ⋮ Generalization of the multipoint meshless FDM application to the nonlinear analysis ⋮ An approach to refinement of irregular clouds of points using generalized finite differences ⋮ A technique for generating adapted discretizations to solve partial differential equations with the generalized finite difference method ⋮ Higher order meshless schemes applied to the finite element method in elliptic problems ⋮ Higher order schemes introduced to the meshless FDM in elliptic problems

Uses Software

• Mfree2D

Cites Work

• On the ill-conditioning in the new higher order multipoint method
• New concepts for moving least squares: an interpolating non-singular weighting function and weighted nodal least squares
• Meshless finite difference method with higher order approximation -- applications in mechanics
• On some convergence results for FDM with irregular mesh
• Influence of several factors in the generalized finite difference method
• Meshless methods: An overview and recent developments
• Meshfree methods for partial differential equations VI. Selected papers of the sixth international workshop, Bonn, Germany, October 4--6, 2011
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• Surfaces Generated by Moving Least Squares Methods
• A Fortran program to generate finite difference formulas
• Scattered Data Approximation
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