Domain Decomposition Solvers for Frequency-Domain Finite Element Equations

Type
Book Chapter

Authors
Copeland, Dylan
Kolmbauer, Michael
Langer, Ulrich

KAUST Grant Number
KUS-C1-016-04

Online Publication Date
2010-10-05

Print Publication Date
2011

Date
2010-10-05

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.

Acknowledgements
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

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