Incorporation of exact boundary conditions into a discontinuous galerkin finite element method for accurately solving 2d time-dependent maxwell equations

Handle URI:
http://hdl.handle.net/10754/562577
Title:
Incorporation of exact boundary conditions into a discontinuous galerkin finite element method for accurately solving 2d time-dependent maxwell equations
Authors:
Sirenko, Kostyantyn; Liu, Meilin; Bagci, Hakan ( 0000-0003-3867-5786 )
Abstract:
A scheme that discretizes exact absorbing boundary conditions (EACs) to incorporate them into a time-domain discontinuous Galerkin finite element method (TD-DG-FEM) is described. The proposed TD-DG-FEM with EACs is used for accurately characterizing transient electromagnetic wave interactions on two-dimensional waveguides. Numerical results demonstrate the proposed method's superiority over the TD-DG-FEM that employs approximate boundary conditions and perfectly matched layers. Additionally, it is shown that the proposed method can produce the solution with ten-eleven digit accuracy when high-order spatial basis functions are used to discretize the Maxwell equations as well as the EACs. © 1963-2012 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Physical Sciences and Engineering (PSE) Division; Computational Electromagnetics Laboratory
Publisher:
Institute of Electrical and Electronics Engineers
Journal:
IEEE Transactions on Antennas and Propagation
Issue Date:
Jan-2013
DOI:
10.1109/TAP.2012.2220102
Type:
Article
ISSN:
0018926X
Sponsors:
This work was supported in part by an Academic Excellence Alliance program award from the King Abdullah University of Science and Technology (KAUST) Global Collaborative Research under the title "Energy Efficient Photonic and Spintronic Devices" and in part by the Center for Uncertainty Quantification in Computational Science and Engineering at KAUST.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorSirenko, Kostyantynen
dc.contributor.authorLiu, Meilinen
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2015-08-03T10:43:27Zen
dc.date.available2015-08-03T10:43:27Zen
dc.date.issued2013-01en
dc.identifier.issn0018926Xen
dc.identifier.doi10.1109/TAP.2012.2220102en
dc.identifier.urihttp://hdl.handle.net/10754/562577en
dc.description.abstractA scheme that discretizes exact absorbing boundary conditions (EACs) to incorporate them into a time-domain discontinuous Galerkin finite element method (TD-DG-FEM) is described. The proposed TD-DG-FEM with EACs is used for accurately characterizing transient electromagnetic wave interactions on two-dimensional waveguides. Numerical results demonstrate the proposed method's superiority over the TD-DG-FEM that employs approximate boundary conditions and perfectly matched layers. Additionally, it is shown that the proposed method can produce the solution with ten-eleven digit accuracy when high-order spatial basis functions are used to discretize the Maxwell equations as well as the EACs. © 1963-2012 IEEE.en
dc.description.sponsorshipThis work was supported in part by an Academic Excellence Alliance program award from the King Abdullah University of Science and Technology (KAUST) Global Collaborative Research under the title "Energy Efficient Photonic and Spintronic Devices" and in part by the Center for Uncertainty Quantification in Computational Science and Engineering at KAUST.en
dc.publisherInstitute of Electrical and Electronics Engineersen
dc.subjectExact absorbing boundary conditionsen
dc.subjectnumerical analysisen
dc.subjecttime domain analysisen
dc.subjecttime domain discontinuous Galerkin finite element methoden
dc.subjectwaveguidesen
dc.titleIncorporation of exact boundary conditions into a discontinuous galerkin finite element method for accurately solving 2d time-dependent maxwell equationsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentComputational Electromagnetics Laboratoryen
dc.identifier.journalIEEE Transactions on Antennas and Propagationen
kaust.authorSirenko, Kostyantynen
kaust.authorLiu, Meilinen
kaust.authorBagci, Hakanen
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