Domain Decomposition Solvers for Frequency-Domain Finite Element Equations

dc.contributor.authorCopeland, Dylan
dc.contributor.authorKolmbauer, Michael
dc.contributor.authorLanger, Ulrich
dc.contributor.institutionTexas A and M University, College Station, United States
dc.contributor.institutionJohannes Kepler Universitat Linz, Linz, Austria
dc.contributor.institutionJohann Radon Institute for Computational and Applied Mathematics, Linz, Austria
dc.date.accessioned2016-02-25T13:10:53Z
dc.date.available2016-02-25T13:10:53Z
dc.date.issued2010-10-05
dc.date.published-online2010-10-05
dc.date.published-print2011
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.
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.
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.
dc.identifier.doi10.1007/978-3-642-11304-8_34
dc.identifier.issn1439-7358
dc.identifier.journalDomain Decomposition Methods in Science and Engineering XIX
dc.identifier.urihttp://hdl.handle.net/10754/598009
dc.publisherSpringer Nature
dc.titleDomain Decomposition Solvers for Frequency-Domain Finite Element Equations
dc.typeBook Chapter
display.details.left<span><h5>Type</h5>Book Chapter<br><br><h5>Authors</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Copeland, Dylan,equals">Copeland, Dylan</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Kolmbauer, Michael,equals">Kolmbauer, Michael</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Langer, Ulrich,equals">Langer, Ulrich</a><br><br><h5>KAUST Grant Number</h5>KUS-C1-016-04<br><br><h5>Online Publication Date</h5>2010-10-05<br><br><h5>Print Publication Date</h5>2011<br><br><h5>Date</h5>2010-10-05</span>
display.details.right<span><h5>Abstract</h5>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.<br><br><h5>Citation</h5>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.<br><br><h5>Acknowledgements</h5>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.<br><br><h5>Publisher</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.publisher=Springer Nature,equals">Springer Nature</a><br><br><h5>Journal</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.journal=Domain Decomposition Methods in Science and Engineering XIX,equals">Domain Decomposition Methods in Science and Engineering XIX</a><br><br><h5>DOI</h5><a href="https://doi.org/10.1007/978-3-642-11304-8_34">10.1007/978-3-642-11304-8_34</a></span>
kaust.grant.numberKUS-C1-016-04
orcid.authorCopeland, Dylan
orcid.authorKolmbauer, Michael
orcid.authorLanger, Ulrich
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