Crouzeix–Raviart

\(\mathcal{P}_k=\operatorname{span}\left\{\prod_{i=1}^dx_i^{p_i}\middle|\sum_{i=1}^dp_i\leqslant k\right\}\)

Before trying this example, you must install Basix:

pip3 install git+https://github.com/FEniCS/basix.git

This element can then be created with the following lines of Python:

import basix

# Create Crouzeix-Raviart order 1 on a triangle
element = basix.create_element(basix.ElementFamily.CR, basix.CellType.triangle, 1)

Before trying this example, you must install Basix.UFL:

pip3 install git+https://github.com/FEniCS/basix.git git+https://github.com/FEniCS/ufl.git

This element can then be created with the following lines of Python:

import basix
import basix.ufl

# Create Crouzeix-Raviart order 1 on a triangle
element = basix.ufl.element(basix.ElementFamily.CR, basix.CellType.triangle, 1)

Before trying this example, you must install FIAT:

pip3 install git+https://github.com/firedrakeproject/fiat.git

This element can then be created with the following lines of Python:

import FIAT

# Create Crouzeix-Raviart order 1
element = FIAT.CrouzeixRaviart(FIAT.ufc_cell("triangle"), 1)

Before trying this example, you must install Symfem:

pip3 install symfem

This element can then be created with the following lines of Python:

import symfem

# Create Crouzeix-Raviart order 1 on a triangle
element = symfem.create_element("triangle", "Crouzeix-Raviart", 1)

Before trying this example, you must install (legacy) UFL:

pip3 install fenics-ufl-legacy

This element can then be created with the following lines of Python:

import ufl_legacy

# Create Crouzeix-Raviart order 1 on a triangle
element = ufl_legacy.FiniteElement("Crouzeix-Raviart", "triangle", 1)