Note: this is documentation for an old release. View the latest documentation at docs.fenicsproject.org/basix/v0.8.0/index.html

Basix 0.7.0

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Basix is a finite element definition and tabulation runtime library. Basix allows users to:

Basix includes a range of built-in elements, and also allows the user to define their own custom elements.

Basix is one of the components of FEniCSx, alongside UFL, FFCx, and DOLFINx.

The main functionality of Basix is written in C++. Documentation of the C++ functionality of Basix can be found at docs.fenicsproject.org/basix/v0.7.0.post0/cpp.

The majority of the functionality of Basix is available for use through the Python interface. Documentation of this interface can be found at docs.fenicsproject.org/basix/v0.7.0.post0/python.

Installing Basix

Instructions for installing Basix can be found at docs.fenicsproject.org/basix/v0.7.0.post0/install.html.

Source

The source code of Basix is available on GitHub. It is available under an MIT license.

Supported elements

Interval

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

The numbering of a reference interval

The following elements are supported on an interval:

Triangle

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

The numbering of a reference triangle

The following elements are supported on a triangle:

Quadrilateral

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

The numbering of a reference quadrilateral

The following elements are supported on a quadrilateral:

Tetrahedron

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

The numbering of a reference tetrahedron

The following elements are supported on a tetrahedron:

Hexahedron

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

The numbering of a reference hexahedron

The following elements are supported on a hexahedron:

Prism

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

The numbering of a reference prism

The following elements are supported on a prism:

Pyramid

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

The numbering of a reference pyramid

The following elements are supported on a pyramid: