A preconditioned 3-D multi-region fast multipole solver for seismic wave propagation in complex geometries
Autor: | Stéphanie Chaillat, Marc Bonnet, Jean-François Semblat |
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Přispěvatelé: | Propagation des Ondes : Étude Mathématique et Simulation (POEMS), Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Unité de Mathématiques Appliquées (UMA), École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Centre National de la Recherche Scientifique (CNRS), Georgia Institute of Technology [Atlanta], Division Mécanique des Sols des Roches et de la Géologie de l'Ingénieur (LCPC/MSRGI), Laboratoire Central des Ponts et Chaussées (LCPC)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12), Laboratoire Central des Ponts et Chaussées (LCPC) |
Jazyk: | angličtina |
Rok vydání: | 2012 |
Předmět: |
Physics
Seismic wavepropagation Physics and Astronomy (miscellaneous) Plane (geometry) business.industry Numerical analysis Fast multipole method Fast Multipole Method Plane wave 3-D elastodynamics Geometry 010103 numerical & computational mathematics Solver [SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph] 01 natural sciences Seismic wave Physics::Geophysics 010101 applied mathematics Optics [PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph] Preconditionning strategy 0101 mathematics business Multipole expansion Boundary element method |
Zdroj: | Communications in Computational Physics Communications in Computational Physics, Global Science Press, 2012, 11, pp.594-609. ⟨10.4208/cicp.231209.030111s⟩ Communications in Computational Physics, 2012, 11, pp.594-609. ⟨10.4208/cicp.231209.030111s⟩ |
ISSN: | 1815-2406 |
DOI: | 10.4208/cicp.231209.030111s⟩ |
Popis: | The analysis of seismic wave propagation and amplification in complex geological structures requires efficient numerical methods. In this article, following up on recent studies devoted to the formulation, implementation and evaluation of 3-D single- and multi-region elastodynamic fast multipole boundary element methods (FM-BEMs), a simple preconditioning strategy is proposed. Its efficiency is demonstrated on both the single- and multi-region versions using benchmark examples (scattering of plane waves by canyons and basins). Finally, the preconditioned FM-BEM is applied to the scattering of plane seismic waves in an actual configuration (alpine basin of Grenoble, France), for which the high velocity contrast is seen to significantly affect the overall efficiency of the multi-region FM-BEM. |
Databáze: | OpenAIRE |
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