Difference operators from interpolating moving least squares and their deviation from optimality

DOI10.1051/m2an:2005039zbMath1085.39018OpenAlexW1967573178MaRDI QIDQ5695388

Thomas Sonar

Publication date: 12 October 2005

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2005__39_5_883_0

zbMATH Keywords

order of approximationmoving least squares interpolationDifference operatorsShepard interpolant

Mathematics Subject Classification ID

Numerical interpolation (65D05) Discrete version of topics in analysis (39A12) Difference operators (39A70) Numerical differentiation (65D25)

Related Items (10)

Interaction of rigid body motion and rarefied gas dynamics based on the BGK model ⋮ A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries ⋮ Finite difference operators from moving least squares interpolation ⋮ Enforcement of boundary conditions in meshfree methods using interpolating moving least squares ⋮ THE ACCURACY OF LEAST-SQUARES APPROXIMATION ON HIGHLY STRETCHED MESHES ⋮ Korovkin-type convergence results for non-positive operators ⋮ A quadratic least‐squares solution reconstruction in a boundary layer region ⋮ Space-time meshfree collocation method: Methodology and application to initial-boundary value problems ⋮ MESHFREE COLLOCATION METHOD FOR IMPLICIT TIME INTEGRATION OF ODES ⋮ Meshfree collocation solution of boundary value problems via interpolating moving least squares

Cites Work

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• Meshless methods: An overview and recent developments
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• Surfaces Generated by Moving Least Squares Methods
• Generation of Difference and Error Formulae of Arbitrary Consistency Order on an Unstructured Grid
• A Practical Guide to Pseudospectral Methods

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