Basix

Spec sheet

Purpose

Basix is a finite element definition and tabulation runtime library.Read 12 Oct 2026 · github.com

Intended users

The project describes FEniCS as a platform for solving partial differential equations with the finite element method, with Python and C++ interfaces for users ranging from beginners to experienced programmers.Read 12 Oct 2026 · fenicsproject.org

Free plan

YesRead 23 Sep 2026 · fenicsproject.org

Support

Users can report bugs through the GitHub issue tracker and ask usage questions on the FEniCS discourse group.Read 12 Oct 2026 · github.com

License

The Basix source code is available under the MIT license.Read 12 Oct 2026 · github.com

Basis evaluation

It evaluates finite element basis functions and their derivatives at specified points.Read 12 Oct 2026 · github.com

Cell information

It provides geometric and topological information about reference cells.Read 12 Oct 2026 · github.com

Custom elements

Basix includes built-in elements and allows users to define custom elements.Read 12 Oct 2026 · github.com

Degrees of freedom

It permutes and transforms degrees of freedom so higher-order elements can be used on arbitrary meshes.Read 12 Oct 2026 · github.com

Element cells

The documentation describes creating finite elements on intervals, triangles, quadrilaterals, tetrahedra, hexahedra, prisms, and pyramids.Read 5 Oct 2026 · docs.fenicsproject.org

FEniCSx components

Basix is one of the FEniCSx components, alongside UFL, FFCx, and DOLFINx.Read 12 Oct 2026 · github.com

Installation

The project README gives `pip install fenics-basix` as the PyPI installation command.Read 12 Oct 2026 · github.com

Interfaces

The main functionality is written in C++, and the majority is available through a Python interface.Read 12 Oct 2026 · docs.fenicsproject.org

Interpolation

It supports interpolation into and between finite element spaces.Read 12 Oct 2026 · github.com

Mapping

It applies push-forward and pull-back operations to map data between a reference cell and a physical cell.Read 12 Oct 2026 · github.com

Platform downloads

The FEniCS download page gives conda as the easiest way to start on macOS and other systems, and apt as the easiest installation route on Debian or Ubuntu Linux.Read 5 Oct 2026 · fenicsproject.org

Release status

The project recommends new users use FEniCSx, whose 0.11 release it says was released in June 2026.Read 5 Oct 2026 · fenicsproject.org

Supported cell types

Basix can create finite elements on intervals, triangles, quadrilaterals, tetrahedra, hexahedra, prisms, and pyramids.Read 12 Oct 2026 · docs.fenicsproject.org

Plans and prices

Every Basix plan and price →

Where Specifiction places it

• Physics Simulation Software#53 of 897.6