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Towards a general interpolation scheme (Q2236985)

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Language	Label	Description	Also known as
English	Towards a general interpolation scheme	scientific article

Statements

scholarly article

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Towards a general interpolation scheme (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

26 October 2021

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zbMATH Keywords

interpolation

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Kronecker-delta

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moving least squares

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reproducing kernels

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non-convex boundaries

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non-negative shape functions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2021.113830

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Fourth order phase-field model for local \textit{max-ent} approximants applied to crack propagation

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Enhanced local maximum-entropy approximation for stable meshfree simulations

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Blending isogeometric analysis and local \textit{maximum entropy} meshfree approximants

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Meshfree analysis with the aid of NURBS boundary

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NURBS-enhanced maximum-entropy schemes

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Adaptive analysis of crack propagation in thin-shell structures via an isogeometric-meshfree moving least-squares approach

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Cell-based maximum-entropy approximants

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Surfaces Generated by Moving Least Squares Methods

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Reproducing kernel particle methods

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Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods

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Construction of polygonal interpolants: a maximum entropy approach

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Imposing essential boundary conditions in mesh-free methods

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Consistent weak forms for meshfree methods: full realization of \(h\)-refinement, \(p\)-refinement, and \(a\)-refinement in strong-type essential boundary condition enforcement

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A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW

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Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation

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Simple modifications for stabilization of the finite point method

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A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation

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An efficient meshfree gradient smoothing collocation method (GSCM) using reproducing kernel approximation

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High-order maximum-entropy collocation methods

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Element‐free Galerkin methods

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New concepts for moving least squares: an interpolating non-singular weighting function and weighted nodal least squares

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The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems

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The interpolating element-free Galerkin (IEFG) method for three-dimensional potential problems

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Reproducing kernel element method. I: Theoretical formulation

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Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies

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Reproducing kernel element method. III: Generalized enrichment and applications

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Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy

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A reproducing kernel method with nodal interpolation property

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Admissible approximations for essential boundary conditions in the reproducing kernel particle method

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Conforming window functions for meshfree methods

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\textit{Maximum-entropy} methods for time-harmonic acoustics

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Convergent meshfree approximation schemes of arbitrary order and smoothness

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A point interpolation meshless method based on radial basis functions

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The generalized finite point method

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Smooth, second order, non-negative meshfree approximants selected by maximum entropy

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Second-order convex <i>maximum entropy</i> approximants with applications to high-order PDE

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A generalized approximation for the meshfree analysis of solids

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Quasi-convex reproducing kernel meshfree method

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Analytical expression of RKPM shape functions

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A comparison of two formulations to blend finite elements and mesh-free methods

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A coupled finite element -- element-free Galerkin method

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Element-free Galerkin methods in combination with finite element approaches

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Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method

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A new method for essential boundary conditions imposition in explicit meshless methods

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An arbitrary order variationally consistent integration for Galerkin meshfree methods

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Convergence Analysis of Meshfree Approximation Schemes

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Gaussian quadrature formulas for triangles

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Finite Difference Approximation for Pricing the American Lookback Option

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An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics

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Error analysis of collocation method based on reproducing kernel approximation

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Superconvergent gradient smoothing meshfree collocation method

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ISOGEOMETRIC COLLOCATION METHODS

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Pollution-error in the \(h\)-version of the finite-element method and the local quality of a posteriori error estimators

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Pollution error in the \(h\)-version of the finite element method and the local quality of the recovered derivatives

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Subdomain radial basis collocation method for fracture mechanics

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Recovery procedures in error estimation and adaptivity. II: Adaptivity in nonlinear problems of elasto-plasticity behaviour

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Identifiers

zbMATH Open document ID

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10.1016/j.cma.2021.113830

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2236985

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