Domain Decomposition Solvers for Frequency-Domain Finite Element Equations

Handle URI:
http://hdl.handle.net/10754/598009
Title:
Domain Decomposition Solvers for Frequency-Domain Finite Element Equations
Authors:
Copeland, Dylan; Kolmbauer, Michael; Langer, Ulrich
Abstract:
The paper is devoted to fast iterative solvers for frequency-domain finite element equations approximating linear and nonlinear parabolic initial boundary value problems with time-harmonic excitations. Switching from the time domain to the frequency domain allows us to replace the expensive time-integration procedure by the solution of a simple linear elliptic system for the amplitudes belonging to the sine- and to the cosine-excitation or a large nonlinear elliptic system for the Fourier coefficients in the linear and nonlinear case, respectively. The fast solution of the corresponding linear and nonlinear system of finite element equations is crucial for the competitiveness of this method. © 2011 Springer-Verlag Berlin Heidelberg.
Citation:
Copeland D, Kolmbauer M, Langer U (2010) Domain Decomposition Solvers for Frequency-Domain Finite Element Equations. Domain Decomposition Methods in Science and Engineering XIX: 301–308. Available: http://dx.doi.org/10.1007/978-3-642-11304-8_34.
Publisher:
Springer Science + Business Media
Journal:
Domain Decomposition Methods in Science and Engineering XIX
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
5-Oct-2010
DOI:
10.1007/978-3-642-11304-8_34
Type:
Book Chapter
ISSN:
1439-7358
Sponsors:
The authors gratefully acknowledge the financial support by the Austrian ScienceFund (FWF) under the grant P19255 and by the Award No. KUS-C1-016-04, madeby King Abdullah University of Science and Technology.
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Full metadata record

DC FieldValue Language
dc.contributor.authorCopeland, Dylanen
dc.contributor.authorKolmbauer, Michaelen
dc.contributor.authorLanger, Ulrichen
dc.date.accessioned2016-02-25T13:10:53Zen
dc.date.available2016-02-25T13:10:53Zen
dc.date.issued2010-10-05en
dc.identifier.citationCopeland D, Kolmbauer M, Langer U (2010) Domain Decomposition Solvers for Frequency-Domain Finite Element Equations. Domain Decomposition Methods in Science and Engineering XIX: 301–308. Available: http://dx.doi.org/10.1007/978-3-642-11304-8_34.en
dc.identifier.issn1439-7358en
dc.identifier.doi10.1007/978-3-642-11304-8_34en
dc.identifier.urihttp://hdl.handle.net/10754/598009en
dc.description.abstractThe paper is devoted to fast iterative solvers for frequency-domain finite element equations approximating linear and nonlinear parabolic initial boundary value problems with time-harmonic excitations. Switching from the time domain to the frequency domain allows us to replace the expensive time-integration procedure by the solution of a simple linear elliptic system for the amplitudes belonging to the sine- and to the cosine-excitation or a large nonlinear elliptic system for the Fourier coefficients in the linear and nonlinear case, respectively. The fast solution of the corresponding linear and nonlinear system of finite element equations is crucial for the competitiveness of this method. © 2011 Springer-Verlag Berlin Heidelberg.en
dc.description.sponsorshipThe authors gratefully acknowledge the financial support by the Austrian ScienceFund (FWF) under the grant P19255 and by the Award No. KUS-C1-016-04, madeby King Abdullah University of Science and Technology.en
dc.publisherSpringer Science + Business Mediaen
dc.titleDomain Decomposition Solvers for Frequency-Domain Finite Element Equationsen
dc.typeBook Chapteren
dc.identifier.journalDomain Decomposition Methods in Science and Engineering XIXen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionJohannes Kepler Universitat Linz, Linz, Austriaen
dc.contributor.institutionJohann Radon Institute for Computational and Applied Mathematics, Linz, Austriaen
kaust.grant.numberKUS-C1-016-04en
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