A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation
type: Item
instance of: scholarly article
title: A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation
zbMATH Open document ID: 1506.65237
author: Zhihao Qian
author: Li-hua Wang
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2021-04-26T00:00:00Z
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 7337948
zbMATH Keywords: stabilized collocation method
zbMATH Keywords: reproducing kernel approximation
zbMATH Keywords: auxiliary collocation points
zbMATH Keywords: accuracy
zbMATH Keywords: stability
zbMATH Keywords: efficiency
describes a project that uses: FEAPpv
MaRDI profile type: Publication
full work available at URL: j.cma.2020.113303
OpenAlex ID: W3048259429
cites work: Meshless methods: An overview and recent developments
cites work: Meshless methods: a review and computer implementation aspects
cites work: Element‐free Galerkin methods
cites work: Reproducing kernel particle methods
cites work: Generalizing the finite element method: Diffuse approximation and diffuse elements
cites work: An \(h\)-\(p\) adaptive method using clouds
cites work: THE PARTITION OF UNITY METHOD
cites work: The generalized finite element method
cites work: A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
cites work: The method of finite spheres
cites work: A point interpolation meshless method based on radial basis functions
cites work: Numerical integration of the Galerkin weak form in meshfree methods
cites work: Nodal integration of the element-free Galerkin method
cites work: A stabilized conforming nodal integration for Galerkin mesh-free methods
cites work: Second-order accurate derivatives and integration schemes for meshfree methods
cites work: An arbitrary order variationally consistent integration for Galerkin meshfree methods
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: Solving partial differential equations by collocation using radial basis functions
cites work: Meshless methods based on collocation with radial basis functions
cites work: On unsymmetric collocation by radial basis functions
cites work: Weighted radial basis collocation method for boundary value problems
cites work: Radial basis functions methods for boundary value problems: performance comparison
cites work: A meshfree method for inverse wave propagation using collocation and radial basis functions
cites work: Subdomain radial basis collocation method for heterogeneous media
cites work: Subdomain radial basis collocation method for fracture mechanics
cites work: Finite subdomain radial basis collocation method
cites work: Meshless local radial basis function collocation method for convective‐diffusive solid‐liquid phase change problems
cites work: Reproducing kernel enhanced local radial basis collocation method
cites work: Radial point interpolation collocation method (RPICM) for partial differential equations
cites work: A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis
cites work: Q4943460
cites work: Error analysis of collocation method based on reproducing kernel approximation
cites work: A gradient reproducing kernel collocation method for boundary value problems
cites work: A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
cites work: A stabilized finite point method for analysis of fluid mechanics problems
cites work: \(hp\)-meshless cloud method
cites work: A gradient smoothing method (GSM) for fluid dynamics problems
cites work: Superconvergent gradient smoothing meshfree collocation method
cites work: Performance Comparison of Nodally Integrated Galerkin Meshfree Methods and Nodally Collocated Strong Form Meshfree Methods
cites work: A comparison of efficiency and error convergence of multiquadric collocation method and finite element method.
cites work: A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals
cites work: A weighted meshfree collocation method for incompressible flows using radial basis functions
cites work: Direct collocation method for identifying the initial conditions in the inverse wave problem using radial basis functions
cites work: Study of radial basis collocation method for wave propagation
cites work: A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
cites work: ISOGEOMETRIC COLLOCATION METHODS
cites work: Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
cites work: An isogeometric collocation method using superconvergent points
cites work: Least-squares collocation meshless method
cites work: Q5177422
cites work: A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids
cites work: Meshfree weak-strong (MWS) form method and its application to incompressible flow problems
cites work: Reproducing kernel particle methods for large deformation analysis of nonlinear structures
cites work: Multiresolution reproducing kernel particle method for computational fluid dynamics
cites work: A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates
cites work: A Hermite reproducing kernel Galerkin meshfree approach for buckling analysis of thin plates
cites work: A reproducing kernel method with nodal interpolation property
cites work: Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
DOI: 10.1016/J.CMA.2020.113303