NDElement verification40 / 40

Last updated: 1 January 2026

The plot above shows the number of elements passing verificiation (green line) out of the number of elements being verified (dashed black line) over time.

Element	Example
discontinuous Lagrange	interval,0,equispaced
	interval,1,equispaced
	interval,2,equispaced
	triangle,0,equispaced
	triangle,1,equispaced
	triangle,2,equispaced
	quadrilateral,0,equispaced
	quadrilateral,1,equispaced
	quadrilateral,2,equispaced
	tetrahedron,0,equispaced
	tetrahedron,1,equispaced
	tetrahedron,2,equispaced
	hexahedron,0,equispaced
	hexahedron,1,equispaced
	hexahedron,2,equispaced
Lagrange	interval,1,equispaced
	interval,2,equispaced
	interval,3,equispaced
	triangle,1,equispaced
	triangle,2,equispaced
	triangle,3,equispaced
	quadrilateral,1,equispaced
	quadrilateral,2,equispaced
	quadrilateral,3,equispaced
	tetrahedron,1,equispaced
	tetrahedron,2,equispaced
	hexahedron,1,equispaced
	hexahedron,2,equispaced
Nédélec (first kind)	triangle,0,legendre
	triangle,1,legendre
	quadrilateral,0,legendre
	quadrilateral,1,legendre
Raviart–Thomas	triangle,0,legendre
	triangle,1,legendre
	quadrilateral,0,legendre
	quadrilateral,1,legendre
	tetrahedron,0,legendre
	tetrahedron,1,legendre
	hexahedron,0,legendre
	hexahedron,1,legendre

For each element in the table above, the verification test passes for an example if:

• The element's basis functions span the same space as Symfem.
• The number of DOFs associated with each sub-entity of the cell is the same as Symfem.
• The element has the same continuity between cells as Symfem.

The algorithm used to perform verification is described in detail in the DefElement paper {{citation::defelement_paper}}.

The symbols in the table have the following meaning:

	Verification passes
	Verification fails

You can information about verification of other libraries on the verification page.

Verification Github badge

Badge	Markdown
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