Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|Page(s)||91 - 96|
|Published online||26 August 2010|
Edge-based a Posteriori Error Estimators for Generating Quasi-optimal Simplicial Meshes
University Lyon1, Institute Camille Jordan, UMR 5208,
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:
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
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