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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2006

Algebraic approximation of Dirichlet-to-Neumann maps for the equations of linear elasticity

Résumé

The absorbing boundary conditions defined on the interface between the sub-domains are of major importance for the convergence of domain decomposition methods. In linear elasticity, optimal absorbing boundary conditions can be derived and are associated with a Dirichlet-to-Neumann map. In this paper, several original algebraic techniques of approximation of this Dirichlet-to-Neumann map are investigated. Asymptotic, spectral and numerical analysis of these techniques are successively presented for linear elasticity problems. Various numerical experiments illustrate the convergence properties of these original techniques.

Dates et versions

hal-00624147 , version 1 (15-09-2011)

Identifiants

Citer

F. Magoules, F. X. Roux, L. Series. Algebraic approximation of Dirichlet-to-Neumann maps for the equations of linear elasticity. Computer Methods in Applied Mechanics and Engineering, 2006, 195 (29-32), pp.3742- 3759. ⟨10.1016/j.cma.2005.01.022⟩. ⟨hal-00624147⟩
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