An Optimized Generalized Integration Rules for Error Reduction of Acoustic Finite Element Model

DOI10.1142/S0219876218500627zbMath1404.76168OpenAlexW2779843463MaRDI QIDQ4962561

Wanyi Tian, Fei Wu, Lingyun Yao

Publication date: 5 November 2018

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

Full work available at URL: https://doi.org/10.1142/s0219876218500627

zbMATH Keywords

error reductionfinite element method (FEM)acoustic problemadaptive genetic algorithm (AGA)optimized generalized integration rules (OGIR)

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (4)

An optimized finite element method for the analysis of 3D acoustic cavities with impedance boundary conditions ⋮ A Gradient Weighted Finite Element Method (GW-FEM) for Static and Quasi-Static Electromagnetic Field Computation ⋮ A coupled finite element-least squares point interpolation/boundary element method for structure-acoustic system with stochastic perturbation method ⋮ Development of a Novel Deterministic-Statistical Approach for Vibro-Acoustic Problems in Mid-Frequency based on Modified Integration Rule

Cites Work

• Unnamed Item
• Unnamed Item
• Finite element modeling of linear elastodynamics problems with explicit time-integration methods and linear elements with the reduced dispersion error
• A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions
• An edge-based smoothed finite element method (ES-FEM) for analyzing three-dimensional acoustic problems
• Continuous finite elements in space and time for the nonhomogeneous wave equation
• An explicit finite element method for the wave equation
• The partition of unity finite element method: basic theory and applications
• Modified integration rules for reducing dispersion error in finite element methods.
• A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells
• Element-free Galerkin solutions for Helmholtz problems: Formulation and numerical assessment of the pollution effect
• Spectral elements and field separation for an acoustic fluid subject to cavitation.
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• A nodal integration axisymmetric thin shell model using linear interpolation
• An accurate and efficient scheme for acoustic-structure interaction problems based on unstructured mesh
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• A survey of finite element methods for time-harmonic acoustics
• \(p\)-version FEM for structural acoustics with a posteriori error estimation
• A wave-oriented meshless formulation for acoustical and vibro-acoustical applications
• Numerical investigations of stabilized finite element computations for acoustics
• A mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular mesh
• A stable node-based smoothed finite element method for acoustic problems
• A Modified Smoothed Finite Element Method for Static and Free Vibration Analysis of Solid Mechanics
• 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
• An Element Decomposition Method for the Helmholtz Equation
• The discontinuous enrichment method
• Dispersion-corrected explicit integration of the wave equation

This page was built for publication: An Optimized Generalized Integration Rules for Error Reduction of Acoustic Finite Element Model