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A numerical study of some Hessian recovery techniques on isotropic and anisotropic meshes

Abstract : Continuous piecewise linear finite elements are considered to solve a Laplace 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.
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https://hal.inria.fr/inria-00455799
Contributor : Paul-Louis George <>
Submitted on : Monday, February 4, 2013 - 2:12:26 PM
Last modification on : Monday, May 4, 2020 - 9:06:05 AM
Long-term archiving on: : Friday, June 18, 2010 - 8:13:12 PM

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  • HAL Id : inria-00455799, version 1

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Marco Picasso, Frédéric Alauzet, Houman Borouchaki, Paul-Louis George. A numerical study of some Hessian recovery techniques on isotropic and anisotropic meshes. [Research Report] RR-7202, INRIA. 2010, pp.25. ⟨inria-00455799⟩

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