| Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010
JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|
|
|---|---|---|
| Page(s) | 78 - 83 | |
| DOI | https://doi.org/10.1051/mmnp/20105713 | |
| Published online | 26 August 2010 | |
Quasi-Optimal Triangulations for Gradient Nonconforming Interpolates of Piecewise Regular Functions
University Lyon1, Institute Camille Jordan, UMR 5208,
69100
Villeurbanne,
France
* Corresponding author: E-mail:
agouzal@univ-lyon1.fr
Anisotropic adaptive methods based on a metric related to the Hessian of the solution are considered. We propose a metric targeted to the minimization of interpolation error gradient for a nonconforming linear finite element approximation of a given piecewise regular function on a polyhedral domain Ω of ℝd, d ≥ 2. We also present an algorithm generating a sequence of asymptotically quasi-optimal meshes relative to such a nonconforming discretization and give numerical asymptotic behavior of the error reduction produced by the generated mesh
Mathematics Subject Classification: 65D05 / 65D15 / 65N50
Key words: finite elements / anisotropic meshes
© EDP Sciences, 2010
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