Quad1¶

Bases: Element

Four-node bilinear quadrilateral element.

Notes

Node ordering:

3 ---- 2
|      |
|      |
0 ---- 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 Quad1 element