Domain Decomposition Solvers for Frequency-Domain Finite Element Equations

Dylan Copeland, Michael Kolmbauer, Ulrich Langer

Research output: Chapter in Book/Report/Conference proceedingChapter

9 Scopus citations

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.
Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XIX
PublisherSpringer Nature
Pages301-308
Number of pages8
ISBN (Print)9783642113031
DOIs
StatePublished - Oct 5 2010
Externally publishedYes

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