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Spaces of continuous piecewise linear finite elements are considered to solve a Poisson problem, and several numerical methods are investigated to recover second derivatives. Numerical results on 2D and 3D isotropic and anisotropic meshes indicate that the quality of the results is strongly linked to the mesh topology and that no convergence can be insured in general.
Stefano Alberti, Jean-Philippe Hogge, Joaquim Loizu Cisquella, Jérémy Genoud, Francesco Romano, Guillaume Michel Le Bars
Mario Paolone, André Hodder, Simone Rametti, Lucien André Félicien Pierrejean
Farhad Rachidi-Haeri, Nicolas Mora Parra, Elias Per Joachim Le Boudec