Tria2¶

Bases: Tria1

Six-node quadratic triangle element with midside nodes.

Notes

Node ordering:

2
| \
5   4
|     \
0 - 3 - 1

`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).

Shape functions of the Tria2 element