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    Domain Decomposition Solvers for Frequency-Domain Finite Element Equations

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    Type
    Book Chapter
    Authors
    Copeland, Dylan
    Kolmbauer, Michael
    Langer, Ulrich
    KAUST Grant Number
    KUS-C1-016-04
    Date
    2010-10-05
    Online Publication Date
    2010-10-05
    Print Publication Date
    2011
    Permanent link to this record
    http://hdl.handle.net/10754/598009
    
    Metadata
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    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.
    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.
    Publisher
    Springer Nature
    Journal
    Domain Decomposition Methods in Science and Engineering XIX
    DOI
    10.1007/978-3-642-11304-8_34
    ae974a485f413a2113503eed53cd6c53
    10.1007/978-3-642-11304-8_34
    Scopus Count
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