Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T16:01:02.569Z Has data issue: false hasContentIssue false
  • English
  • Français

Quasi-Optimal Triangulations for Gradient NonconformingInterpolates of Piecewise Regular Functions

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
A. Agouzal  and
N. Debit
Get access

Abstract

Anisotropic adaptive methods based on a metric related to the Hessian of the solution areconsidered. We propose a metric targeted to the minimization of interpolation errorgradient for a nonconforming linear finite element approximation of a given piecewiseregular function on a polyhedral domain Ω ofℝ d , d ≥ 2. We alsopresent an algorithm generating a sequence of asymptotically quasi-optimal meshes relativeto such a nonconforming discretization and give numerical asymptotic behavior of the errorreduction produced by the generated mesh

Keywords

finite elementsanisotropic meshes
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9thInternational Conference on Numerical Analysis and Optimization , 2010 , pp. 78 - 83
Copyright
© EDP Sciences, 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

A. Agouzal, K. Lipnikov, Y. Vassilevski. Generation of quasi-optimal meshes based on a posteriori error estimates. Proceedings of 16th International Meshing Roundtable. M.Brewerxi and D.Marcum (eds.), Springer, (2007), 139–148.
D’Azevedo, E.. Optimal triangular mesh generation by coordinate transformation . SIAM J. Sci. Comput., 12 (1991), 755–786.CrossRefGoogle Scholar
Vassilevski, Y., Lipnikov, K.. Adaptive algorithm for generation of quasi-optimal meshes . Comp. Math. Math. Phys., 39 (1999), 1532–1551.Google Scholar