Algebraic Dirichlet-to-Neumann mapping for linear elasticity problems with extreme contrasts in the coefficients |
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Authors: | Frédéric Magoulès François-Xavier Roux Laurent Series |
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Institution: | 1. Institut Elie Cartan de Nancy, Université Henri Poincaré, BP 239, 54506 Vandoeuvre-les-Nancy Cedex, France;2. High Performance Computing Unit, ONERA, 29 av. de la Division Leclerc, BP 72, 92322 Châtillon Cedex, France |
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Abstract: | The convergence of iterative based domain decomposition methods is linked with the absorbing boundary conditions defined on the interface between the sub-domains. For linear elasticity problems, the optimal absorbing boundary conditions are associated with non-local Dirichlet-to-Neumann maps. Most of the methods to approximate these non-local maps are based on a continuous analysis. In this paper, an original algebraic technique based on the computation of local Dirichlet-to-Neumann maps is investigated. Numerical experiments are presented for linear elasticity problems with extreme contrasts in the coefficients. |
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Keywords: | Dirichlet-to-Neumann Domain decomposition Discontinuous coefficients Heterogeneous media Linear elasticity |
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