Publicado 6 números por año
ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352
Indexed in
Adaptive Mesh Computation of a Shell-Like Problem with Singular Layers
SINOPSIS
Solutions to very thin shell problems exhibit in some cases singularities that propagate along given characteristic lines. Often, deformation and energy concentrate along such curves (singular layers); so, an accurate computation needs much refinement in these regions. Herein, we propose an adaptive mesh procedure for solving a model problem (allowing explicit description of the singularities) corresponding to these kind of situations. It generates elements which are, in the layer region, small and elongated.
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de Souza C., Béchet F., Leguillon D., Sanchez-Palencia É., Anisotropic adaptive mesh procedure for computing very thin hyperbolic shells, BIT Numerical Mathematics, 48, 2, 2008. Crossref
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Béchet F., Sanchez-Palencia E., Millet O., Computing singular perturbations for linear elliptic shells, Computational Mechanics, 42, 2, 2008. Crossref
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Béchet F., Sanchez-Palencia E., Millet O., Singular perturbations generating complexification phenomena for elliptic shells, Computational Mechanics, 43, 2, 2009. Crossref
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Béchet F., Millet O., Sanchez-Palencia É., Adaptive and anisotropic mesh strategy for thin shell problems. Case of inhibited parabolic shells, International Journal of Solids and Structures, 46, 3-4, 2009. Crossref
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Béchet F., Sanchez-Palencia E., Millet O., Singularities in shell theory: Anisotropic error estimates and numerical simulations, Computer Methods in Applied Mechanics and Engineering, 199, 21-22, 2010. Crossref