Anisotropic adaptation via a Zienkiewicz-Zhu error estimator for 2D elliptic problems

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
32/2009
Title:
Anisotropic adaptation via a Zienkiewicz-Zhu error estimator for 2D elliptic problems
Date:
Tuesday 10th November 2009
Author(s):
Micheletti, Stefano; Perotto, Simona
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Abstract:
We propose a Zienkiewicz-Zhu a posteriori error estimator in 2D, which shares the computational advantages typical of the original estimator. The novelty is the inclusion of the geometrical features of the computational mesh, useful for an anisotropic mesh adaptation. The adapted triangulations are shown numerically to be quasi-optimal with respect to the error-vs-number of elements behaviour.