Paper Info
Title
On discrete boundaries and solution accuracy in anisotropic adaptive meshing
Abstract
We have shown that representation of curved surfaces with triangular meshes restricts the use of adaptive methods. For a particular convection-diffusion problem, we have shown numerically that the saturated discretization error is proportional to h2 where h is the size of the quasi-uniform mesh approximating the curved surface. We have proposed and analyzed theoretically and numerically a new surface reconstruction technique which improves performance of adaptive methods.
Year
DOI
Venue
2010
10.1007/3-540-29090-7_19
Eng. Comput. (Lond.)
Keywords
DocType
Volume
Surface reconstruction, Hessian recovery, Adaptive meshes
Journal
26
Issue
ISSN
Citations 
3
1435-5663
0
PageRank 
References 
Authors
0.34
4
2
Name
Order
Citations
PageRank
K. Lipnikov152157.35
Yuri V. Vassilevski29114.75