Table 2.

Block under compression: comparison of computational times for different discretizations. Timings were obtained using (a) 48 cores and (b) 192 cores on ARCHER, UK. Coarser grids, see Table 1, are used for Taylor–Hood elements ${\mathbb{P}}_2-{\mathbb{P}}_1$ to compare computational times for a similar number of degrees of freedom (DOF)

Discretization	Grid	DOF (Mio.)	Tet. (s)	Hex. (s)
(a)
Projection	$\ell =4$	1.098	330	438
MINI	$\ell =4$	1.098	873	655
${\mathbb{P}}_2-{\mathbb{P}}_1$	$\ell =3$	0.860	1202	–
(b)
Projection	$\ell =5$	8.587	2488	2192
MINI	$\ell =5$	8.587	3505	4640
${\mathbb{P}}_2-{\mathbb{P}}_1$	$\ell =4$	6.715	27,154	–