Mathematics – Numerical Analysis
Scientific paper
2012-01-08
Mathematics
Numerical Analysis
19 pages, 24 figures
Scientific paper
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.
Xie Hehu
Yin Xiaobo
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