Basix Python interface documentation

Welcome to the Basix Python interface documentation.

Basix is a finite element definition and tabulation runtime library. It is part of FEniCSx, alongside UFL, FFCx and DOLFINx (C++ docs, Python docs).

Basix can create finite elements on intervals, triangles, quadrilaterals, tetrahedra, hexahedra, prisms, and pyramids.

Using Basix

A Basix element can be created using the function basix.create_element(). This function will return a basix.finite_element.FiniteElement object.

The element can be tabulated using the function basix.finite_element.FiniteElement.tabulate().

Table of contents

basix

Basix is a finite element definition and tabulation runtime library.

• Demos
  • Creating and tabulating an element
    • C++ demo
  • Creating and using a quadrature rule
    • Integrating a basis function
  • Computing a facet integral
  • Variants of Lagrange elements
  • DOF permutations and transformations
    • Degree 5 Lagrange element
    • Degree 2 Lagrange element
    • Degree 2 Nédélec element
    • C++ demo
  • Creating a custom element
    • Lagrange element with bubble
      • Polynomial coefficients
      • Interpolation
      • Creating the element
    • Degree 1 Ravairt–Thomas element
      • Polynomial coefficients
      • Interpolation
      • Creating the element
  • Defining conforming Crouzeix–Raviart elements
    • Conforming CR element on a triangle