A cell-based smoothed radial point interpolation method (CS-RPIM) for three-dimensional solids

DOI10.1016/j.enganabound.2014.09.017zbMath1403.74284OpenAlexW1977138106MaRDI QIDQ1653633

Y. Aharonov

Publication date: 6 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.09.017

zbMATH Keywords

meshfreeradial point interpolation method (RPIM)gradient smoothing operationsubdomain stabilization conforming integration

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items

Complex variable moving Kriging interpolation for boundary meshless method ⋮ An efficient nodal integration with quadratic exactness for three-dimensional meshfree Galerkin methods ⋮ Numerical study of exterior acoustic problems using a novel finite element-least square point interpolation method with perfectly matched layer ⋮ Meshless local radial point interpolation to three-dimensional wave equation with Neumann's boundary conditions ⋮ Analysis of Transient Thermo-Elastic Problems Using a Cell-Based Smoothed Radial Point Interpolation Method ⋮ Coupling magneto-electro-elastic cell-based smoothed radial point interpolation method for static and dynamic characterization of MEE structures ⋮ On the use of radial point interpolation method (RPIM) in a high order continuation for the resolution of the geometrically nonlinear elasticity problems ⋮ Stable node-based smoothed radial point interpolation method for the dynamic analysis of the hygro-thermo-magneto-electro-elastic coupling problem ⋮ An accurate and efficient scheme for acoustic-structure interaction problems based on unstructured mesh

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A cell-based smoothed radial point interpolation method (CS-RPIM) for static and free vibration of solids
• A hybrid radial boundary node method based on radial basis point interpolation
• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• An efficient RPIM for simulating wave motions in saturated porous media
• A linearly conforming radial point interpolation method (LC-RPIM) for shells
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• On the optimal shape parameters of radial basis functions used for 2-D meshless methods
• Some recent results and proposals for the use of radial basis functions in the BEM
• A nodal integration technique for meshfree radial point interpolation method (NI-RPIM)
• A meshfree radial point interpolation method (RPIM) for three-dimensional solids
• THE UPPER BOUND PROPERTY FOR SOLID MECHANICS OF THE LINEARLY CONFORMING RADIAL POINT INTERPOLATION METHOD (LC-RPIM)
• Theoretical aspects of the smoothed finite element method (SFEM)
• Element‐free Galerkin methods
• A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
• Smoothed Particle Hydrodynamics
• A point interpolation meshless method based on radial basis functions
• Reproducing kernel particle methods
• A NORMED G SPACE AND WEAKENED WEAK (W²) FORMULATION OF A CELL-BASED SMOOTHED POINT INTERPOLATION METHOD