Dispersion error reduction for interior acoustic problems using the radial point interpolation meshless method with plane wave enrichment functions

DOI10.1016/j.enganabound.2022.07.001OpenAlexW4285082005WikidataQ113875176 ScholiaQ113875176MaRDI QIDQ2085939

Wei Li, Yingbin Chai, Xiangyu You, Qiang Gui, Yang Zhang

Publication date: 19 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.07.001

zbMATH Keywords

Helmholtz equationradial point interpolation methodinterior acoustic problemsplane wave enrichment functions

Mathematics Subject Classification ID

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

Related Items (3)

Transient analyses of wave propagations in nonhomogeneous media employing the novel finite element method with the appropriate enrichment function ⋮ The enriched quadrilateral overlapping finite elements for time-harmonic acoustics ⋮ Numerical investigation of the element-free Galerkin method (EFGM) with appropriate temporal discretization techniques for transient wave propagation problems

Cites Work

• Unnamed Item
• Crack growth modeling in elastic solids by the extended meshfree Galerkin radial point interpolation method
• Smoothed finite element methods (S-FEM): an overview and recent developments
• The generalized finite element method for Helmholtz equation. II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment
• Dispersion and pollution of meshless solutions for the Helmholtz equation
• The wave based method: an overview of 15 years of research
• Optimal balance between mass and smoothed stiffness in simulation of acoustic problems
• The rapid assessment for three-dimensional potential model of large-scale particle system by a modified multilevel fast multipole algorithm
• A linearized element-free Galerkin method for the complex Ginzburg-Landau equation
• A cell-based smoothed finite element method (CS-FEM) for three-dimensional incompressible laminar flows using mixed wedge-hexahedral element
• A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading
• A semi-analytical and boundary-type meshless method with adjoint variable formulation for acoustic design sensitivity analysis
• Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical meshless method
• Simulating thin plate bending problems by a family of two-parameter homogenization functions
• Transient wave propagation dynamics with edge-based smoothed finite element method and Bathe time integration technique
• \(h\)- and \(p\)-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics
• Edged-based smoothed point interpolation method for acoustic radiation with perfectly matched layer
• A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients
• A regularized method of moments for three-dimensional time-harmonic electromagnetic scattering
• A cell-based smoothed finite element method stabilized by implicit SUPG/SPGP/fractional step method for incompressible flow
• Hybrid FEM-SBM solver for structural vibration induced underwater acoustic radiation in shallow marine environment
• A fast element-free Galerkin method for the fractional diffusion-wave equation
• Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains
• Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions
• A truly meshfree method for solving acoustic problems using local weak form and radial basis functions
• A quasi-consistent integration method for efficient meshfree analysis of Helmholtz problems with plane wave basis functions
• An efficient algorithm to analyze wave propagation in fluid/solid and solid/fluid phononic crystals
• Analysis of acoustic radiation problems using the cell-based smoothed radial point interpolation method with Dirichlet-to-Neumann boundary condition
• The generalized finite element method for Helmholtz equation: theory, computation, and open problems
• Performance of the radial point interpolation method (RPIM) with implicit time integration scheme for transient wave propagation dynamics
• Dispersion error reduction for acoustic problems using the edge-based smoothed finite element method (ES-FEM)
• Comparison of two wave element methods for the Helmholtz problem
• Dispersion analysis of the meshfree radial point interpolation method for the Helmholtz equation
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• Assessment and applications of point interpolation methods for computational mechanics
• A Coupled FE-Meshfree Triangular Element for Acoustic Radiation Problems
• Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics
• A Dual-Level Method of Fundamental Solutions in Conjunction with Kernel-Independent Fast Multipole Method for Large-Scale Isotropic Heat Conduction Problems
• Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals
• Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory

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