fem.properties.cell_volumes

fem.properties.cell_volumes(points, cells)

Element volumes, (C,), differentiable in points.

HEX8 volumes integrate the trilinear geometry map’s Jacobian determinant with the 2x2x2 Gauss rule, which is exact for that map — the same volume jax-fem’s own quadrature sees. Tet volumes are |det| / 6 over the straight corners (TET10 meshes here are straight-sided).

Parameters

Name	Type	Description	Default
points	Any	Node positions (N, 3) (may be traced).	required
cells	Any	Connectivity (C, 8), (C, 4) or (C, 10).	required

Returns

Name	Type	Description
	Any	A JAX array of absolute element volumes, (C,).