A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation
From MaRDI portal
Publication:2021114
DOI10.1016/j.cma.2020.113303zbMath1506.65237OpenAlexW3048259429MaRDI QIDQ2021114
Publication date: 26 April 2021
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.2020.113303
stabilityefficiencyaccuracyreproducing kernel approximationstabilized collocation methodauxiliary collocation points
Related Items (23)
A high-order accurate meshless method for solution of incompressible fluid flow problems ⋮ A highly efficient and accurate Lagrangian-Eulerian stabilized collocation method (LESCM) for the fluid-rigid body interaction problems with free surface flow ⋮ Analysis of a superconvergent recursive moving least squares approximation ⋮ A gradient reproducing kernel based stabilized collocation method for the static and dynamic problems of thin elastic beams and plates ⋮ The local radial basis function collocation method for elastic wave propagation analysis in 2D composite plate ⋮ Gradient reproducing kernel based Hermite collocation method (GHCM) for eigenvalue analysis of functionally graded thin plates with in-plane material ⋮ Extraction of Lagrangian coherent structures in the framework of the Lagrangian-Eulerian stabilized collocation method (LESCM) ⋮ Stabilized Lagrange interpolation collocation method: a meshfree method incorporating the advantages of finite element method ⋮ An accuracy analysis framework for meshfree collocation methods with particular emphasis on boundary effects ⋮ Conservation and accuracy studies of the LESCM for incompressible fluids ⋮ Multiresolution method for bending of plates with complex shapes ⋮ A nodal integration based two level local projection meshfree stabilization method for convection diffusion problems ⋮ Optimal parameters selection of back propagation algorithm in the feedforward neural network ⋮ Boundary moving least squares method for 3D elasticity problems ⋮ Numerical solution of the quasistatic contact problem with the Tresca friction in elastic-viscoplastic materials by the element-free Galerkin method ⋮ A stabilized collocation method based on the efficient gradient reproducing kernel approximations for the boundary value problems ⋮ Towards a general interpolation scheme ⋮ Septic Hermite collocation method for the numerical solution of Benjamin–Bona–Mahony–Burgers equation ⋮ An efficient meshfree gradient smoothing collocation method (GSCM) using reproducing kernel approximation ⋮ Heat transfer for nonlinear boundary conditions involving radiation for constant and temperature related thermal conductivity material using the MWLS method ⋮ Intrinsic extended isogeometric analysis with emphasis on capturing high gradients or singularities ⋮ Simulation of electromagnetic wave propagations in negative index materials by the localized RBF-collocation method ⋮ An adaptive variational multiscale element free Galerkin method based on the residual-based a posteriori error estimators for convection-diffusion-reaction problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Hermite reproducing kernel Galerkin meshfree approach for buckling analysis of thin plates
- A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
- A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids
- Radial point interpolation collocation method (RPICM) for partial differential equations
- Meshless methods: a review and computer implementation aspects
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Solving partial differential equations by collocation using radial basis functions
- Numerical integration of the Galerkin weak form in meshfree methods
- Meshless methods: An overview and recent developments
- Nodal integration of the element-free Galerkin method
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- An \(h\)-\(p\) adaptive method using clouds
- \(hp\)-meshless cloud method
- A stabilized finite point method for analysis of fluid mechanics problems
- A comparison of efficiency and error convergence of multiquadric collocation method and finite element method.
- The method of finite spheres
- Meshless methods based on collocation with radial basis functions
- Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
- Radial basis functions methods for boundary value problems: performance comparison
- An isogeometric collocation method using superconvergent points
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- On unsymmetric collocation by radial basis functions
- Superconvergent gradient smoothing meshfree collocation method
- A weighted meshfree collocation method for incompressible flows using radial basis functions
- A meshfree method for inverse wave propagation using collocation and radial basis functions
- A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals
- A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- Finite subdomain radial basis collocation method
- Study of radial basis collocation method for wave propagation
- Least‐squares collocation meshless method
- Second-order accurate derivatives and integration schemes for meshfree methods
- A gradient reproducing kernel collocation method for boundary value problems
- An arbitrary order variationally consistent integration for Galerkin meshfree methods
- Error analysis of collocation method based on reproducing kernel approximation
- ISOGEOMETRIC COLLOCATION METHODS
- Subdomain radial basis collocation method for fracture mechanics
- Meshless local radial basis function collocation method for convective‐diffusive solid‐liquid phase change problems
- A gradient smoothing method (GSM) for fluid dynamics problems
- Weighted radial basis collocation method for boundary value problems
- Reproducing kernel enhanced local radial basis collocation method
- Subdomain radial basis collocation method for heterogeneous media
- Element‐free Galerkin methods
- Multiresolution reproducing kernel particle method for computational fluid dynamics
- A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
- THE PARTITION OF UNITY METHOD
- A reproducing kernel method with nodal interpolation property
- Meshfree weak-strong (MWS) form method and its application to incompressible flow problems
- A point interpolation meshless method based on radial basis functions
- Reproducing kernel particle methods
- Performance Comparison of Nodally Integrated Galerkin Meshfree Methods and Nodally Collocated Strong Form Meshfree Methods
- Direct collocation method for identifying the initial conditions in the inverse wave problem using radial basis functions
- A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates
- The generalized finite element method
This page was built for publication: A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation
