The double absorbing boundary method for the Helmholtz equation

Symeon Papadimitropoulos; Dan Givoli

doi:https://doi.org/10.1016/j.apnum.2021.05.029

The double absorbing boundary method for the Helmholtz equation

Symeon Papadimitropoulos, Dan Givoli

Aerospace Engineering

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The Double Absorbing Boundary (DAB) is a recently proposed absorbing layer used to truncate an unbounded domain with high-order accuracy. While it was originally designed for time-dependent acoustics and elastodynamics, here the DAB construction is adapted and applied to the 2D Helmholtz equation. Both wave-guide and corner configurations are considered. A high-order spectral finite element scheme is used in order to match the discretization accuracy to the accuracy of the DAB. The DAB scheme is analyzed, and numerical experiments demonstrate its performance.

Original language	English
Pages (from-to)	182-200
Number of pages	19
Journal	Applied Numerical Mathematics
Volume	168
DOIs	https://doi.org/10.1016/j.apnum.2021.05.029
State	Published - Oct 2021

Keywords

Absorbing boundary conditions
Acoustic waves
Double absorbing boundary
High order
Spectral elements

All Science Journal Classification (ASJC) codes

Numerical Analysis
Computational Mathematics
Applied Mathematics

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https://doi.org/10.1016/j.apnum.2021.05.029

Cite this

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title = "The double absorbing boundary method for the Helmholtz equation",

abstract = "The Double Absorbing Boundary (DAB) is a recently proposed absorbing layer used to truncate an unbounded domain with high-order accuracy. While it was originally designed for time-dependent acoustics and elastodynamics, here the DAB construction is adapted and applied to the 2D Helmholtz equation. Both wave-guide and corner configurations are considered. A high-order spectral finite element scheme is used in order to match the discretization accuracy to the accuracy of the DAB. The DAB scheme is analyzed, and numerical experiments demonstrate its performance.",

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AB - The Double Absorbing Boundary (DAB) is a recently proposed absorbing layer used to truncate an unbounded domain with high-order accuracy. While it was originally designed for time-dependent acoustics and elastodynamics, here the DAB construction is adapted and applied to the 2D Helmholtz equation. Both wave-guide and corner configurations are considered. A high-order spectral finite element scheme is used in order to match the discretization accuracy to the accuracy of the DAB. The DAB scheme is analyzed, and numerical experiments demonstrate its performance.

KW - Absorbing boundary conditions

KW - Acoustic waves

KW - Double absorbing boundary

KW - High order

KW - Spectral elements

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M3 - مقالة

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VL - 168

SP - 182

EP - 200

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

ER -

The double absorbing boundary method for the Helmholtz equation

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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