Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776332 | Journal of Computational and Applied Mathematics | 2017 | 17 Pages |
Abstract
We study W1,p Lagrange interpolation error estimates for general quadrilateral Qk finite elements with kâ¥2. For the most standard case of p=2 it turns out that the constant C involved in the error estimate can be bounded in terms of the minimal interior angle of the quadrilateral. Moreover, the same holds for any p in the range 1â¤p<3. On the other hand, for 3â¤p we show that C also depends on the maximal interior angle. We provide some counterexamples showing that our results are sharp.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Gabriel Acosta, Gabriel Monzón,