Artículos de revistas
The minimal angle condition for quadrilateral finite elements of arbitrary degree
Fecha
2017-06Registro en:
Acosta Rodriguez, Gabriel; Monzón, Gabriel; The minimal angle condition for quadrilateral finite elements of arbitrary degree; Elsevier Science; Journal Of Computational And Applied Mathematics; 317; 6-2017; 218-234
0377-0427
CONICET Digital
CONICET
Autor
Acosta Rodriguez, Gabriel
Monzón, Gabriel
Resumen
We study W1,p Lagrange interpolation error estimates for general quadrilateral Qk finite elements with k≥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 1≤p<3. On the other hand, for 3≤p we show that C also depends on the maximal interior angle. We provide some counterexamples showing that our results are sharp.