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Metric tensors for the interpolation error and its gradient in $L^p$ norm
- Publication Year :
- 2012
-
Abstract
- A uniform strategy to derive metric tensors in two spatial dimension for interpolation errors and their gradients in $L^p$ norm is presented. It generates anisotropic adaptive meshes as quasi-uniform ones in corresponding metric space, with the metric tensor being computed based on a posteriori error estimates in different norms. Numerical results show that the corresponding convergence rates are always optimal.<br />Comment: 19 pages, 24 figures
- Subjects :
- Mathematics - Numerical Analysis
65N30, 65N50
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1201.1632
- Document Type :
- Working Paper