The enriched quadrilateral overlapping finite elements for time-harmonic acoustics
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Publication:6160612
DOI10.1016/j.amc.2023.128018MaRDI QIDQ6160612
Yingbin Chai, Wei Li, Qiang Gui
Publication date: 26 June 2023
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Helmholtz equationlinear independenceharmonic trigonometric functionsoverlapping finite element method
Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Related Items (3)
A novel semi-analytical meshless method for the thickness optimization of porous material distributed on sound barriers ⋮ An efficient hybrid collocation scheme for vibro-acoustic analysis of the underwater functionally graded structures in the shallow ocean ⋮ Improved modal analyses using the novel quadrilateral overlapping elements
Cites Work
- Unnamed Item
- Prediction of rank deficiency in partition of unity-based methods with plane triangular or quadrilateral meshes
- Smoothed finite element methods (S-FEM): an overview and recent developments
- A comparison of high-order polynomial and wave-based methods for Helmholtz problems
- Trefftz-based methods for time-harmonic acoustics
- Exact non-reflecting boundary conditions
- Hybrid gradient smoothing technique with discrete shear gap method for shell structures
- 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 finite point method for the fractional cable equation using meshless smoothed gradients
- Numerical simulation of anti-plane wave propagation in heterogeneous media
- Dispersion error reduction for interior acoustic problems using the radial point interpolation meshless method with plane wave enrichment functions
- Three-dimensional application of the meshless generalized finite difference method for solving the extended Fisher-Kolmogorov equation
- A boundary meshless method for dynamic coupled thermoelasticity problems
- Enriched isogeometric collocation for two-dimensional time-harmonic acoustics
- 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
- An efficient algorithm to analyze wave propagation in fluid/solid and solid/fluid phononic crystals
- Plane wave enriched partition of unity isogeometric analysis (PUIGA) for 2D-Helmholtz problems
- The generalized finite element method for Helmholtz equation: theory, computation, and open problems
- A new radial basis function for Helmholtz problems
- Performance of the radial point interpolation method (RPIM) with implicit time integration scheme for transient wave propagation dynamics
- Transient analyses of wave propagations in nonhomogeneous media employing the novel finite element method with the appropriate enrichment function
- Numerical investigation of the element-free Galerkin method (EFGM) with appropriate temporal discretization techniques for transient wave propagation problems
- A Survey of Trefftz Methods for the Helmholtz Equation
- Comparison of two wave element methods for the Helmholtz problem
- Studies of domain‐based formulations for computing exterior problems of acoustics
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Survey of meshless and generalized finite element methods: A unified approach
- 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
- Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material
- Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory
- Singular boundary method: a review and computer implementation aspects
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