Super-convergence of reproducing kernel approximation

DOI10.1016/j.cma.2019.04.038zbMath1441.65120OpenAlexW2945142033MaRDI QIDQ1988062

John T. Foster, Yu Leng, Xiaochuan Tian

Publication date: 16 April 2020

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.2019.04.038

zbMATH Keywords

error estimatesreproducing kernel approximationmeshfree methodssuper-convergencepseudo-super-convergence

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (5)

Temporal stability of collocation, Petrov-Galerkin, and other non-symmetric methods in elastodynamics and an energy conserving time integration ⋮ Asymptotically Compatible Reproducing Kernel Collocation and Meshfree Integration for Nonlocal Diffusion ⋮ Asymptotically compatible reproducing kernel collocation and meshfree integration for the peridynamic Navier equation ⋮ Consistent weak forms for meshfree methods: full realization of \(h\)-refinement, \(p\)-refinement, and \(a\)-refinement in strong-type essential boundary condition enforcement ⋮ A general-purpose, inelastic, rotation-free Kirchhoff-Love shell formulation for peridynamics

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