Adaptive finite element method for the sound wave problems in two kinds of media

DOI10.1016/j.camwa.2019.07.029zbMath1443.65224OpenAlexW2968706385WikidataQ127356819 ScholiaQ127356819MaRDI QIDQ2004555

Hao Wang, Wei Yang, Yunqing Huang

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.07.029

zbMATH Keywords

adaptive finite element methodsa posteriori error estimatorHelmholtz equationsperfectly matched layers

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Uses Software

• iFEM

Cites Work

• Unnamed Item
• A dispersion minimizing subgridding finite difference scheme for the Helmholtz equation with PML
• A direct solver for variable coefficient elliptic PDEs discretized via a composite spectral collocation method
• Adaptive perfectly matched layer method for multiple scattering problems
• An adaptive edge finite element method for electromagnetic cloaking simulation
• The superconvergent cluster recovery method
• An optimal 25-point finite difference scheme for the Helmholtz equation with PML
• The superconvergent patch recovery (SPR) and adaptive finite element refinement
• The method of polarized traces for the 2D Helmholtz equation
• Application of He's variational iteration method to Helmholtz equation
• A boundary element method for the Helmholtz equation using finite part integration
• On the analysis and construction of perfectly matched layers for the linearized Euler equations
• A perfectly matched layer for the absorption of electromagnetic waves
• On the existence and convergence of the solution of PML equations
• Robust iterative method for nonlinear Helmholtz equation
• A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations
• Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
• A spectral boundary integral equation method for the 2D Helmholtz equation
• Accurate finite difference methods for time-harmonic wave propagation
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• A spectral regularization method for a Cauchy problem of the modified Helmholtz equation
• High-order finite difference methods for the Helmholtz equation
• A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• A meshless method for some inverse problems associated with the Helmholtz equation
• A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations
• A Multi-Domain Spectral IPDG Method for Helmholtz Equation with High Wave Number
• ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION
• Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
• Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
• Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains
• Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number
• Absorbing boundary conditions for numerical simulation of waves
• Nested Domain Decomposition with Polarized Traces for the 2D Helmholtz Equation
• A weak Galerkin mixed finite element method for the Helmholtz equation with large wave numbers
• Robust Adaptive $hp$ Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation
• Perfectly Matched Layers for the Convected Helmholtz Equation
• A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
• A Convergent Adaptive Algorithm for Poisson’s Equation
• A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain Part II: Extensions
• Continuous interior penalty nite element methods for Helmholtz equation with high wave number
• A Multigrid Method for the Helmholtz Equation with Optimized Coarse Grid Corrections
• Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number
• Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. Part I: linear version
• Spectral Approximation of the Helmholtz Equation with High Wave Numbers
• A residual a posteriori error estimator for the finite element solution of the Helmholtz equation