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Mixed spectral finite elements for the linear elasticity system in unbounded domains

Gary Cohen 1 Sandrine Fauqueux 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
Abstract : In this paper, we present a mixed formulation of a spectral element approximation of the linear elasticity system. After studying the main features of this approach, we construct perfectly matched layers (PMLs) for modeling unbounded domains. Then, algorithmic issues are discussed and numerical results are given. Copyright © 2005 Society for Industrial and Applied Mathematics
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https://hal-ensta-paris.archives-ouvertes.fr//hal-00982991
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Submitted on : Thursday, April 24, 2014 - 4:01:49 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM

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Gary Cohen, Sandrine Fauqueux. Mixed spectral finite elements for the linear elasticity system in unbounded domains. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2005, 26 (3), pp.864-884. ⟨10.1137/S1064827502407457⟩. ⟨hal-00982991⟩

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