Hybrid absorbing boundary conditions of PML and CRBC
type: Item
instance of: scholarly article
title: Hybrid absorbing boundary conditions of PML and CRBC
zbMATH Open document ID: 1493.65210
author: Seungil Kim
published in: Journal of Computational and Applied Mathematics
publication date: 2021-09-01T00:00:00Z
review text: A hybrid absorbing boundary condition (HABC) is developed for time-harmonic wave scattering problems by combining the perfectly matched layers (PML) and complete radiation boundary conditions (CRBC). A model problem governed by the Helmholtz equation is considered, in which solutions propagate in one direction, describing wave phenomena arising in guided structures or periodic diffraction gratings. Since the solutions can be represented as a superposition of a finite number of propagating modes and an infinite number of evanescent modes, appropriate absorbing boundary conditions are required to handle both types of modes efficiently. The well-posedness of the model problem is discussed supplemented with HABC and the convergence of approximate solutions. The choice of the CRBC parameters is investigated to minimize the reflection error for a given number of grid points along the direction of wave propagation Numerical experiments are presented illustrating the performance of HABC.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7389251
zbMATH Keywords: absorbing boundary condition
zbMATH Keywords: perfectly matched layer
zbMATH Keywords: complete radiation boundary condition
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: diffraction grating
reviewed by: Bülent Karasözen
describes a project that uses: deal.ii
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113713
OpenAlex ID: W3182148142
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DOI: 10.1016/J.CAM.2021.113713
description: scientific article; zbMATH DE number 7389251