Efficiency of Higher Order Finite Elements for the Analysis of Seismic Wave Propagation

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dc.creatorSemblat, Jean-François
dc.creatorBrioist, J. J.
dc.date2009-01-23
dc.date.accessioned2026-07-07T12:33:46Z
dc.date.available2026-07-07T12:33:46Z
dc.descriptionThe analysis of wave propagation problems in linear damped media must take into account both propagation features and attenuation process. To perform accurate numerical investigations by the finite differences or finite element method, one must consider a specific problem known as the numerical dispersion of waves. Numerical dispersion may increase the numerical error during the propagation process as the wave velocity (phase and group) depends on the features of the numerical model. In this paper, the numerical modelling of wave propagation by the finite element method is thus analyzed and dis-cussed for linear constitutive laws. Numerical dispersion is analyzed herein through 1D computations investigating the accuracy of higher order 15-node finite elements towards numerical dispersion. Concerning the numerical analy-sis of wave attenuation, a rheological interpretation of the classical Rayleigh assumption has for instance been previously proposed in this journal.
dc.identifierhttps://arxiv.org/abs/0901.3715
dc.identifierhttp://arxiv.org/abs/0901.3715
dc.identifierJournal of Sound and Vibration 231, 2 (2000) 460-467
dc.identifierdoi:10.1006/jsvi.1999.2636
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217244
dc.subjectClassical Physics
dc.titleEfficiency of Higher Order Finite Elements for the Analysis of Seismic Wave Propagation
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