A Novel Virtual Node Selection Scheme of Cell-Based Smoothed Radial Point Interpolation Method (CS-RPIM) for Mid-Frequency Acoustic Problems

DOI10.1142/s0219876222500153MaRDI QIDQ6173012

Guiyong Zhang, You-yun Xu, Shuangqiang Wang, Huan Hu, Zhi-Gang Chen, Qihang Xiao

Publication date: 21 July 2023

Published in: International Journal of Computational Methods (Search for Journal in Brave)

zbMATH Keywords

dispersion errorgradient smoothing techniquecell-based smoothed radial point interpolation method (CS-RPIM)condensed shape functionmid-frequency acoustic problems

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dispersion and pollution of the cell-based smoothed radial point interpolation method (CS-RPIM) solution for the Helmholtz equation
• An edge-based smoothed finite element method (ES-FEM) for analyzing three-dimensional acoustic problems
• Dispersion free analysis of acoustic problems using the alpha finite element method
• Higher order finite and infinite elements for the solution of Helmholtz problems
• Finite element analysis of acoustic scattering
• Analysis of underwater acoustic scattering problems using stable node-based smoothed finite element method
• Hybrid smoothed finite element method for acoustic problems
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• A meshless Galerkin least-square method for the Helmholtz equation
• Some recent results and proposals for the use of radial basis functions in the BEM
• An improved cell-based smoothed radial point interpolation method using condensed shape functions for 3D interior acoustic problems
• Analysis of acoustic radiation problems using the cell-based smoothed radial point interpolation method with Dirichlet-to-Neumann boundary condition
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• Numerical investigations of stabilized finite element computations for acoustics
• A meshfree radial point interpolation method (RPIM) for three-dimensional solids
• Smoothed Point Interpolation Methods
• MESHFREE CELL-BASED SMOOTHED POINT INTERPOLATION METHOD USING ISOPARAMETRIC PIM SHAPE FUNCTIONS AND CONDENSED RPIM SHAPE FUNCTIONS
• A GENERALIZED GRADIENT SMOOTHING TECHNIQUE AND THE SMOOTHED BILINEAR FORM FOR GALERKIN FORMULATION OF A WIDE CLASS OF COMPUTATIONAL METHODS
• Dispersion analysis of the meshfree radial point interpolation method for the Helmholtz equation
• Residual-free bubbles for the Helmholtz equation
• A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
• A point interpolation meshless method based on radial basis functions
• Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
• A G space theory and a weakened weak (W² ) form for a unified formulation of compatible and incompatible methods: Part I theory
• A G space theory and a weakened weak (W² ) form for a unified formulation of compatible and incompatible methods: Part II applications to solid mechanics problems

This page was built for publication: A Novel Virtual Node Selection Scheme of Cell-Based Smoothed Radial Point Interpolation Method (CS-RPIM) for Mid-Frequency Acoustic Problems