NDLI: Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Lu, Wangtao Qian, Jianliang Lu, Ya Yan
Copyright Year	2018
Abstract	For scattering problems of time-harmonic waves, the boundary integral equation (BIE) methods are highly competitive since they are formulated on lower-dimension boundaries or interfaces and can automatically satisfy outgoing radiation conditions. For scattering problems in a layered medium, standard BIE methods based on Green's function of the background medium need to evaluate the expensive Sommerfeld integrals. Alternative BIE methods based on the free-space Green's function give rise to integral equations on unbounded interfaces which are not easy to truncate since the wave fields on these interfaces decay very slowly. We develop a BIE method based on the perfectly matched layer (PML) technique. The PMLs are widely used to suppress outgoing waves in numerical methods that directly discretize the physical space. Our PML-based BIE method uses the PML-transformed free-space Green's function to define the boundary integral operators. The method is efficient since the PML-transformed free-space Green's function is easy to evaluate and the PMLs are very effective in truncating the unbounded interfaces. Numerical examples are presented to validate our method and demonstrate its accuracy.
Sponsorship	Research Grants Council, University Grants Committee. National Thousand Young Talents Program. Zhejiang University. National Science Foundation
Starting Page	246
Ending Page	265
Page Count	20
File Format	PDF
ISSN	00361399
DOI	10.1137/17M1112510
e-ISSN	1095712X
Issue Number	1
Volume Number	78
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2018-01-24
Access Restriction	Subscribed
Subject Keyword	Waves and radiation Integral equations Integral representations, integral operators, integral equations methods Neumann-to-Dirichlet map boundary integral equation scattering problem perfectly matched layer
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Perfectly-matched-layer boundary integral equation method for wave scattering in a layered medium

Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems

A COMBINATION OF Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations

Regularized Combined Field Integral Equations for Acoustic Transmission Problems

Recovering the Dirichlet-to-Neumann map in inverse scattering problems using integral equation methods

A High-Order Method for Evaluating Derivatives of Harmonic Functions in Planar Domains

Explicit Representation for the Infinite-Depth Two-Dimensional Free-Surface Green's Function in Linear Water-Wave Theory

Boundary integral equation neumann-to-dirichlet map method for gratings in conical diffraction.

Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering

Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium

Similar Documents

Perfectly-matched-layer boundary integral equation method for wave scattering in a layered medium

Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems

A COMBINATION OF Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations

Regularized Combined Field Integral Equations for Acoustic Transmission Problems

Recovering the Dirichlet-to-Neumann map in inverse scattering problems using integral equation methods

A High-Order Method for Evaluating Derivatives of Harmonic Functions in Planar Domains

Explicit Representation for the Infinite-Depth Two-Dimensional Free-Surface Green's Function in Linear Water-Wave Theory

Boundary integral equation neumann-to-dirichlet map method for gratings in conical diffraction.

Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering

Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium