Domain decomposition solvers for frequency-domain finite element equations

Citation data:

Lecture Notes in Computational Science and Engineering, ISSN: 1439-7358, Vol: 78 LNCSE, Page: 301-308

Publication Year:
2010
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Citations 9
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Repository URL:
http://hdl.handle.net/10754/598009
DOI:
10.1007/978-3-642-11304-8_34
Author(s):
Copeland, Dylan; Kolmbauer, Michael; Langer, Ulrich
Publisher(s):
Springer Nature; Springer Science + Business Media
Tags:
Mathematics; Engineering
conference paper description
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.