Anisotropic error indicator based on Zienkiewicz-Zhu error estimator: Application to elliptic and parabolic problems

The anisotropic error indicator presented in [M. Picasso, Comm. Numer. Methods Engrg., 19 (2003), pp. 13-23.] in the frame of the Laplace equation is extended to elliptic and parabolic problems. Our error indicator is derived using the anisotropic interpolation estimates of [L. Formaggia and S. Perotto, Numer. Math., 89 (2001), pp. 641-667; L. Formaggia and S. Perotto, Numer. Math., (2002), DOI 10.1007/s002110200415], together with a Zienkiewicz-Zhu error estimator to approach the error gradient. A numerical study of the effectivity index is proposed for elliptic, diffusion-convection, and parabolic problems. An adaptive algorithm is implemented, aimed at controlling the relative estimated error.


Published in:
Siam Journal on Scientific Computing, 24, 4, 1328-1355
Year:
2003
ISSN:
1064-8275
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.: 665PG
Times Cited: 9
Cited Reference Count: 32
Other identifiers:
Laboratories:




 Record created 2006-08-24, last modified 2018-03-17


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)