Basix

Basix is a finite element definition and tabulation runtime library.

Installing Basix

To install Basix:

> pip install .

For advanced installation instructions see the detailed install instructions

Documentation

Documentation of Basix can be found at https://docs.fenicsproject.org/basix/main/.

Supported elements

Interval

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

Triangle

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

Quadrilateral

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

Tetrahedron

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

Hexahedron

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

Prism

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

The following elements are supported on a prism:

• Lagrange

Pyramid

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

The following elements are supported on a pyramid:

• Lagrange