inria-00455799, version 1

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

Marco Picasso () ¹, Frédéric Alauzet () ¹, Houman Borouchaki ¹, Paul Louis George ¹

N° RR-7202 (2010)

• 1:  GAMMA3 (INRIA Paris-Rocquencourt)
• 
  INRIA France

Bibliographic reference

• Type of document: Research reports
• Domain: Computer Science/Modeling and Simulation
• Title: 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.
• ACM Classification: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations/G.1.8.3: Finite element methods
• Full text language: English
• Report type: Research Report
• Page number: 25
• Publication date: 2010-02-11
• Keywords: Éléments finis – Matrice Hessienne – maillages anisotropeq
• Internal note: RR-7202

Attached file list to this document: 

• inria-00455799, version 1
• http://hal.inria.fr/inria-00455799
• oai:hal.inria.fr:inria-00455799
• From: Paul-Louis George <>
• Submitted on: Monday, 4 February 2013 14:12:26
• Updated on: Wednesday, 6 February 2013 10:04:34