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Bar1

Bases: Element

Two-node linear line element.

Notes

Node ordering:

0 ---- 1

facets()

Local node indices of the codimension-1 facets.

Raises:

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).

H(xi) classmethod

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

Shape functions of the Bar1 element Shape functions of the Bar1 element