The double absorbing boundary method for the Helmholtz equation

DOI10.1016/j.apnum.2021.05.029zbMath1469.74104OpenAlexW3172388713MaRDI QIDQ2041056

Symeon Papadimitropoulos, Dan Givoli

Publication date: 15 July 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.05.029

zbMATH Keywords

error estimatenumerical stabilitywaveguidehigh-order spectral finite element methodquater-plane domain

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral and related methods applied to problems in solid mechanics (74S25) Linear waves in solid mechanics (74J05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation ⋮ TRAC method in dissipative media—a first analysis in frequency domain and homogeneous media

Uses Software

• RBCPack

Cites Work

• Unnamed Item
• The double absorbing boundary method
• Consistent transmitting boundary with continued-fraction absorbing boundary conditions for analysis of soil-structure interaction in a layered half-space
• Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides
• Perfectly matched layers for time-harmonic second order elliptic problems
• Spectral element method for acoustic wave simulation in heterogeneous media
• A perfectly matched layer for the absorption of electromagnetic waves
• Double absorbing boundaries for finite-difference time-domain electromagnetics
• The double absorbing boundary method for a class of anisotropic elastic media
• Application of a complete radiation boundary condition for the Helmholtz equation in locally perturbed waveguides
• High-order local non-reflecting boundary conditions: a review
• A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems
• Absorbing boundary conditions for scalar waves in anisotropic media. 1: Time harmonic modeling
• Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
• Double Absorbing Boundary Formulations for Acoustics and Elastodynamics
• STRESS–VELOCITY COMPLETE RADIATION BOUNDARY CONDITIONS
• Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods
• Comparison of high-order absorbing boundary conditions and perfectly matched layers in the frequency domain
• High-order absorbing boundary conditions incorporated in a spectral element formulation
• LOCAL HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES IN GUIDES
• Radiation boundary conditions for wave-like equations
• Radiation boundary conditions for acoustic and elastic wave calculations

This page was built for publication: The double absorbing boundary method for the Helmholtz equation