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Transient Mechanical Wave Propagation in Semi-infinite Porous Media Using a Finite Element Approach with Domain Decomposition Technology

  • Andrey Terekhov
  • Arnaud Mesgouez
  • Gaelle Lefeuve-Mesgouez
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4671)

Abstract

In this paper, the authors propose a numerical investigation in the time domain of the mechanical wave propagation due to an impulsional load on a semi-infinite soil. The ground is modelled as a porous saturated viscoelastic medium involving the complete Biot theory. An accurate and efficient Finite Element Method using a matrix-free technique is used. Two parallel algorithms are used: Geometrical Domain Decomposition (GDD) and Algebraic Decomposition (AD). Numerical results show that GDD algorithm has the best time. Physical numerical results present the displacements of the fluid and solid particles over the surface and in depth.

Keywords

Porous Medium Parallel Algorithm Domain Decomposition Elementary Matrice Finite Element Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Andrey Terekhov
    • 1
  • Arnaud Mesgouez
    • 2
  • Gaelle Lefeuve-Mesgouez
    • 2
  1. 1.Institute of Computational Mathematic and Mathematical Geophysics, Prospect Akademika Lavrentjeva, 6, Novosibirsk, 630090Russia
  2. 2.UMR Climate, Soil and Environment, University of Avignon, France, Faculté des Sciences, 33 rue Louis Pasteur, F-84000 Avignon 

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