Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator

The framework of Formaggia and Perotto (Numerische Mathematik 2001; 89:641-667) is considered to derive a new anisotropic error indicator for a Laplace problem in the energy norm. The matrix containing the error gradient is approached using a Zienkiewicz-Zhu error estimator. A numerical study of the effectivity index is proposed for anisotropic unstructured meshes, showing that our indicator is sharp. An anisotropic adaptive algorithm is implemented, aiming at controlling the estimated relative error. Copyright (C) 2003 John Wiley Sons, Ltd.


Published in:
Communications in Numerical Methods in Engineering, 19, 1, 13-23
Year:
2003
ISSN:
1069-8299
Keywords:
Note:
Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Picasso, M, Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland.
ISI Document Delivery No.: 640JC
Times Cited: 7
Cited Reference Count: 17
Other identifiers:
Laboratories:




 Record created 2006-08-24, last modified 2018-01-27


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