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Efficient simulation of wave propagation in heterogeneous materials
Author(s) -
Joulaian Meysam,
Duczek Sascha,
Gabbert Ulrich,
Düster Alexander
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410340
Subject(s) - spectral method , computer science , core (optical fiber) , domain (mathematical analysis) , finite element method , spectral analysis , wave propagation , computational science , mathematics , algorithm , mathematical optimization , physics , mathematical analysis , optics , telecommunications , quantum mechanics , spectroscopy , thermodynamics
In this contribution we explain the core idea of the recently proposed spectral cell method, which combines a fictitious domain approach with finite elements of high order and noticeably relieves the burden of mesh generation. Moreover, it employs mass lumping techniques and significantly reduces the computational expenditure. Our studies show that the spectral cell method leads to similar results yet with less computational effort as compared to standard techniques. These properties turn the method to a viable tool for the wave propagation analysis of structures that obey a complicated geometry. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)