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Generation of quasi-optimal meshes based on a posteriori error estimates. (English) Zbl 1134.65310

Brewer, Michael L. (ed.) et al., Proceedings of the 16th international meshing roundtable, Seattle, WA, USA, October 14–17, 2007. Berlin: Springer (ISBN 978-3-540-75102-1/hbk). 139-158 (2008).
We study methods for recovering tensor metrics from given error estimates and properties of meshes which are quasi-uniforrn in these metrics. We derive optimal upper and lower bounds for the global error on these meshes. We demonstrate with numerical experiments that the edge-based error estimates are preferable for recovering anisotropic metrics than the conventional element-based errors estimates.
For the entire collection see [Zbl 1122.65002].

MSC:

65D18 Numerical aspects of computer graphics, image analysis, and computational geometry
68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
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