Basix is a finite element definition and tabulation runtime library.

Basix can be installed by following these instructions

Documentation of Basix can be found here. Documentation of the Python interface of Basix can be found here.

In Basix, the sub-entities of the reference interval are numbered as follows:

The following elements are supported on a interval:

• Lagrange
• Bubble
• DPC
• Serendipity

In Basix, the sub-entities of the reference triangle are numbered as follows:

The following elements are supported on a triangle:

• Lagrange
• Nédélec first kind
• Raviart-Thomas
• Nédélec second kind
• Brezzi-Douglas-Marini
• Regge
• Crouzeix-Raviart
• Bubble

In Basix, the sub-entities of the reference quadrilateral are numbered as follows:

The following elements are supported on a quadrilateral:

• Lagrange
• Nédélec first kind
• Raviart-Thomas
• Nédélec second kind
• Brezzi-Douglas-Marini
• Bubble
• DPC
• Serendipity

In Basix, the sub-entities of the reference tetrahedron are numbered as follows:

The following elements are supported on a tetrahedron:

• Lagrange
• Nédélec first kind
• Raviart-Thomas
• Nédélec second kind
• Brezzi-Douglas-Marini
• Regge
• Crouzeix-Raviart
• Bubble

In Basix, the sub-entities of the reference hexahedron are numbered as follows:

The following elements are supported on a hexahedron:

• Lagrange
• Nédélec first kind
• Raviart-Thomas
• Nédélec second kind
• Brezzi-Douglas-Marini
• Bubble
• DPC
• Serendipity

In Basix, the sub-entities of the reference prism are numbered as follows:

The following elements are supported on a prism:

• Lagrange

In Basix, the sub-entities of the reference pyramid are numbered as follows:

The following elements are supported on a pyramid:

• Lagrange