Numerical modeling of seismic waves by discontinuous spectral element methods
ESAIM. Proceedings, Tome 61 (2018), pp. 1-37
Cet article a éte moissonné depuis la source EDP Sciences
We present a comprehensive review of Discontinuous Galerkin Spectral Element (DGSE) methods on hybrid hexahedral/tetrahedral grids for the numerical modeling of the ground motion induced by large earthquakes. DGSE methods combine the exibility of discontinuous Galerkin meth-ods to patch together, through a domain decomposition paradigm, Spectral Element blocks where high-order polynomials are used for the space discretization. This approach allows local adaptivity on discretization parameters, thus improving the quality of the solution without affecting the compu-tational costs. The theoretical properties of the semidiscrete formulation are also revised, including well-posedness, stability and error estimates. A discussion on the dissipation, dispersion and stability properties of the fully-discrete (in space and time) formulation is also presented. Here space dis-cretization is obtained based on employing the leap-frog time marching scheme. The capabilities of the present approach are demonstrated through a set of computations of realistic earthquake scenar-ios obtained using the code SPEED (http://speed.mox.polimi.it), an open-source code specifically designed for the numerical modeling of large-scale seismic events jointly developed at Politecnico di Milano by The Laboratory for Modeling and Scientific Computing MOX and by the Department of Civil and Environmental Engineering.
Affiliations des auteurs :
Paola F. Antonietti 1 ; Alberto Ferroni 1 ; Ilario Mazzieri 1 ; Roberto Paolucci 2 ; Alfio Quarteroni 3 ; Chiara Smerzini 4 ; Marco Stupazzini 5
@article{EP_2018_61_a1,
author = {Paola F. Antonietti and Alberto Ferroni and Ilario Mazzieri and Roberto Paolucci and Alfio Quarteroni and Chiara Smerzini and Marco Stupazzini},
title = {Numerical modeling of seismic waves by discontinuous spectral element methods},
journal = {ESAIM. Proceedings},
pages = {1--37},
year = {2018},
volume = {61},
doi = {10.1051/proc/201861001},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201861001/}
}
TY - JOUR AU - Paola F. Antonietti AU - Alberto Ferroni AU - Ilario Mazzieri AU - Roberto Paolucci AU - Alfio Quarteroni AU - Chiara Smerzini AU - Marco Stupazzini TI - Numerical modeling of seismic waves by discontinuous spectral element methods JO - ESAIM. Proceedings PY - 2018 SP - 1 EP - 37 VL - 61 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201861001/ DO - 10.1051/proc/201861001 LA - en ID - EP_2018_61_a1 ER -
%0 Journal Article %A Paola F. Antonietti %A Alberto Ferroni %A Ilario Mazzieri %A Roberto Paolucci %A Alfio Quarteroni %A Chiara Smerzini %A Marco Stupazzini %T Numerical modeling of seismic waves by discontinuous spectral element methods %J ESAIM. Proceedings %D 2018 %P 1-37 %V 61 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/201861001/ %R 10.1051/proc/201861001 %G en %F EP_2018_61_a1
Paola F. Antonietti; Alberto Ferroni; Ilario Mazzieri; Roberto Paolucci; Alfio Quarteroni; Chiara Smerzini; Marco Stupazzini. Numerical modeling of seismic waves by discontinuous spectral element methods. ESAIM. Proceedings, Tome 61 (2018), pp. 1-37. doi: 10.1051/proc/201861001
Cité par Sources :