A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions

Leslie Greengard; Kenneth L. Ho; June Yub Lee

doi:10.1016/j.jcp.2013.11.011

A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions

Leslie Greengard, Kenneth L. Ho, June Yub Lee

Mathematics

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

Abstract

We present a new integral equation method for the calculation of two-dimensional scattering from periodic structures involving triple-points (multiple materials meeting at a single point). The combination of a robust and high-order accurate integral representation and a fast direct solver permits the efficient simulation of scattering from fixed structures at multiple angles of incidence. We demonstrate the performance of the scheme with several numerical examples.

Original language	English (US)
Pages (from-to)	738-751
Number of pages	14
Journal	Journal of Computational Physics
Volume	258
DOIs	https://doi.org/10.1016/j.jcp.2013.11.011
State	Published - Feb 1 2014

Keywords

Acoustic scattering
Boundary integral equations
Electromagnetic scattering
Fast direct solvers
Multiple material interfaces
Triple junctions

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
Physics and Astronomy(all)
Computer Science Applications
Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.jcp.2013.11.011

Cite this

@article{52e8d1c2747f41b1af88983738a1a31f,

title = "A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions",

abstract = "We present a new integral equation method for the calculation of two-dimensional scattering from periodic structures involving triple-points (multiple materials meeting at a single point). The combination of a robust and high-order accurate integral representation and a fast direct solver permits the efficient simulation of scattering from fixed structures at multiple angles of incidence. We demonstrate the performance of the scheme with several numerical examples.",

keywords = "Acoustic scattering, Boundary integral equations, Electromagnetic scattering, Fast direct solvers, Multiple material interfaces, Triple junctions",

author = "Leslie Greengard and Ho, {Kenneth L.} and Lee, {June Yub}",

note = "Funding Information: This work was supported by the Applied Mathematical Sciences Program of the U.S. Department of Energy under Contract DEFGO288ER25053 and by the Office of the Assistant Secretary of Defense for Research and Engineering and AFOSR under NSSEFF Program Award FA9550-10-1-0180 . K.L.H. was also supported in part by the National Science Foundation under grants DGE-0333389 and DMS-1203554 . J.Y.L. was also supported in part by the Priority Research Centers Program ( 2009-0093827 ) and the Basic Science Research Program ( 2012-002298 ) through the National Research Foundation (NRF) of Korea . ",

year = "2014",

month = feb,

day = "1",

doi = "10.1016/j.jcp.2013.11.011",

language = "English (US)",

volume = "258",

pages = "738--751",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions

AU - Greengard, Leslie

AU - Ho, Kenneth L.

AU - Lee, June Yub

N1 - Funding Information: This work was supported by the Applied Mathematical Sciences Program of the U.S. Department of Energy under Contract DEFGO288ER25053 and by the Office of the Assistant Secretary of Defense for Research and Engineering and AFOSR under NSSEFF Program Award FA9550-10-1-0180 . K.L.H. was also supported in part by the National Science Foundation under grants DGE-0333389 and DMS-1203554 . J.Y.L. was also supported in part by the Priority Research Centers Program ( 2009-0093827 ) and the Basic Science Research Program ( 2012-002298 ) through the National Research Foundation (NRF) of Korea .

PY - 2014/2/1

Y1 - 2014/2/1

N2 - We present a new integral equation method for the calculation of two-dimensional scattering from periodic structures involving triple-points (multiple materials meeting at a single point). The combination of a robust and high-order accurate integral representation and a fast direct solver permits the efficient simulation of scattering from fixed structures at multiple angles of incidence. We demonstrate the performance of the scheme with several numerical examples.

AB - We present a new integral equation method for the calculation of two-dimensional scattering from periodic structures involving triple-points (multiple materials meeting at a single point). The combination of a robust and high-order accurate integral representation and a fast direct solver permits the efficient simulation of scattering from fixed structures at multiple angles of incidence. We demonstrate the performance of the scheme with several numerical examples.

KW - Acoustic scattering

KW - Boundary integral equations

KW - Electromagnetic scattering

KW - Fast direct solvers

KW - Multiple material interfaces

KW - Triple junctions

UR - http://www.scopus.com/inward/record.url?scp=84888416294&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888416294&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2013.11.011

DO - 10.1016/j.jcp.2013.11.011

M3 - Article

AN - SCOPUS:84888416294

SN - 0021-9991

VL - 258

SP - 738

EP - 751

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this