Tetra2¶

Bases: Tetra1

Ten-node quadratic tetrahedral element with midside nodes.

Notes

Node ordering:

    3
   /|\
 7/ | \8
 /  |  \
0---4---1
 \  |  /
6 \ | / 5
   \|/
    2

`B(xi)` `classmethod` ¶

Evaluate reference-space derivatives of shape functions by autodiff.

Parameters:

xi (Tensor) –

Reference coordinates. Shape: (iso_dim,) or (n_points, iso_dim).

Returns:

Tensor ( Tensor ) –

Derivatives dN/dxi. Shape: (iso_dim, nodes) or (n_points, iso_dim, nodes).

Evaluate reference-space second derivatives of shape functions by autodiff.

Parameters:

xi (Tensor) –

Reference coordinates. Shape: (iso_dim,) or (n_points, iso_dim).

Returns:

Tensor ( Tensor ) –

Second derivatives d²N/dxi_i dxi_j. Shape: (iso_dim, iso_dim, nodes) or (n_points, iso_dim, iso_dim, nodes).