Handle URI:
http://hdl.handle.net/10754/598099
Title:
Efficient and stable perfectly matched layer for CEM
Authors:
Duru, Kenneth; Kreiss, Gunilla
Abstract:
An efficient unsplit perfectly matched layer for numerical simulation of electromagnetic waves in unbounded domains is derived via a complex change of variables. In order to surround a Cartesian grid with the PML, the time-dependent PML requires only one (scalar) auxiliary variable in two space dimensions and six (scalar) auxiliary variables in three space dimensions. It is therefore cheap and straightforward to implement. We use Fourier and energy methods to prove the stability of the PML. We extend the stability result to a semi-discrete PML approximated by central finite differences of arbitrary order of accuracy and to a fully discrete problem for the 'Leap-Frog' schemes. This makes precise the usefulness of the derived PML model for longtime simulations. Numerical experiments are presented, illustrating the accuracy and stability of the PML. © 2013 IMACS.
Citation:
Duru K, Kreiss G (2014) Efficient and stable perfectly matched layer for CEM. Applied Numerical Mathematics 76: 34–47. Available: http://dx.doi.org/10.1016/j.apnum.2013.09.005.
Publisher:
Elsevier BV
Journal:
Applied Numerical Mathematics
Issue Date:
Feb-2014
DOI:
10.1016/j.apnum.2013.09.005
Type:
Article
ISSN:
0168-9274
Sponsors:
This project was completed during the author's postdoctoral program at the Geophysics Department, Stanford University, California. This work was supported by King Abdullah University of Science and Technology (KAUST) through a joint KAUST Academic Excellence Alliance (AEA) grant with Stanford.
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Full metadata record

DC FieldValue Language
dc.contributor.authorDuru, Kennethen
dc.contributor.authorKreiss, Gunillaen
dc.date.accessioned2016-02-25T13:12:39Zen
dc.date.available2016-02-25T13:12:39Zen
dc.date.issued2014-02en
dc.identifier.citationDuru K, Kreiss G (2014) Efficient and stable perfectly matched layer for CEM. Applied Numerical Mathematics 76: 34–47. Available: http://dx.doi.org/10.1016/j.apnum.2013.09.005.en
dc.identifier.issn0168-9274en
dc.identifier.doi10.1016/j.apnum.2013.09.005en
dc.identifier.urihttp://hdl.handle.net/10754/598099en
dc.description.abstractAn efficient unsplit perfectly matched layer for numerical simulation of electromagnetic waves in unbounded domains is derived via a complex change of variables. In order to surround a Cartesian grid with the PML, the time-dependent PML requires only one (scalar) auxiliary variable in two space dimensions and six (scalar) auxiliary variables in three space dimensions. It is therefore cheap and straightforward to implement. We use Fourier and energy methods to prove the stability of the PML. We extend the stability result to a semi-discrete PML approximated by central finite differences of arbitrary order of accuracy and to a fully discrete problem for the 'Leap-Frog' schemes. This makes precise the usefulness of the derived PML model for longtime simulations. Numerical experiments are presented, illustrating the accuracy and stability of the PML. © 2013 IMACS.en
dc.description.sponsorshipThis project was completed during the author's postdoctoral program at the Geophysics Department, Stanford University, California. This work was supported by King Abdullah University of Science and Technology (KAUST) through a joint KAUST Academic Excellence Alliance (AEA) grant with Stanford.en
dc.publisherElsevier BVen
dc.subjectEfficiencyen
dc.subjectEnergy estimatesen
dc.subjectFourier analysisen
dc.subjectHigh order accuracyen
dc.subjectMaxwell's equationsen
dc.subjectPerfectly matched layersen
dc.subjectStabilityen
dc.subjectWell-posednessen
dc.titleEfficient and stable perfectly matched layer for CEMen
dc.typeArticleen
dc.identifier.journalApplied Numerical Mathematicsen
dc.contributor.institutionStanford University, Palo Alto, United Statesen
dc.contributor.institutionUppsala Universitet, Uppsala, Swedenen
kaust.grant.programAcademic Excellence Alliance (AEA)en
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