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Metric tensors for the interpolation error and its gradient in norm.
- Source :
-
Journal of Computational Physics . Jan2014, Vol. 256, p543-562. 20p. - Publication Year :
- 2014
-
Abstract
- Abstract: A unified strategy to derive metric tensors in two and three spatial dimensions for the interpolation error and its gradient in norm is presented. It generates anisotropic adaptive meshes as quasi-uniform ones in the corresponding metric space, which is defined by a metric tensor being computed based on error estimates in different norms. Numerical results show that the corresponding convergence rates for several typical problems are almost optimal. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00219991
- Volume :
- 256
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Physics
- Publication Type :
- Academic Journal
- Accession number :
- 91573831
- Full Text :
- https://doi.org/10.1016/j.jcp.2013.09.008