| Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010
JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|
|
|---|---|---|
| Page(s) | 91 - 96 | |
| DOI | https://doi.org/10.1051/mmnp/20105715 | |
| Published online | 26 August 2010 | |
Edge-based a Posteriori Error Estimators for Generating Quasi-optimal Simplicial Meshes
1
University Lyon1, Institute Camille Jordan, UMR 5208,
69100
Villeurbanne,
France
2
Los Alamos National Laboratory, Los Alamos, NM, 87545,
U.S.A.
3
Institute of Numerical Mathematics, Gubkina str. 8, Moscow
119333, Russia
* Corresponding author: E-mail:
yuri.vassilevski@gmail.com
We present a new method for generating a d-dimensional simplicial mesh that minimizes the Lp-norm, p > 0, of the interpolation error or its gradient. The method uses edge-based error estimates to build a tensor metric. We describe and analyze the basic steps of our method
Mathematics Subject Classification: 65D05 / 65D15 / 65N15 / 65N50
Key words: finite elements / anisotropic meshes / a posteriori error estimates
© EDP Sciences, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.