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* add DefElement verification badge to README

* com -> org

* com -> org

* .com -> .org
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@mscroggs
mscroggs authored Nov 15, 2024
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93 changes: 47 additions & 46 deletions README.md
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[![Basix CI](https://github.com/FEniCS/basix/actions/workflows/pythonapp.yml/badge.svg)](https://github.com/FEniCS/basix/actions/workflows/pythonapp.yml)
[![Spack install](https://github.com/FEniCS/basix/actions/workflows/spack.yml/badge.svg)](https://github.com/FEniCS/basix/actions/workflows/spack.yml)
[![DefElement verification](https://defelement.org/badges/basix.ufl.svg)](https://defelement.org/verification.html)

Basix is a finite element definition and tabulation runtime library.
Basix allows users to:
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The following elements are supported on an interval:

- [Lagrange](https://defelement.com/elements/lagrange.html)
- [Bubble](https://defelement.com/elements/bubble.html)
- [Serendipity](https://defelement.com/elements/serendipity.html)
- [Hermite](https://defelement.com/elements/hermite.html)
- [iso](https://defelement.com/elements/p1-iso-p2.html)
- [Lagrange](https://defelement.org/elements/lagrange.html)
- [Bubble](https://defelement.org/elements/bubble.html)
- [Serendipity](https://defelement.org/elements/serendipity.html)
- [Hermite](https://defelement.org/elements/hermite.html)
- [iso](https://defelement.org/elements/p1-iso-p2.html)


### Triangle
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The following elements are supported on a triangle:

- [Lagrange](https://defelement.com/elements/lagrange.html)
- [Nédélec first kind](https://defelement.com/elements/nedelec1.html)
- [Raviart-Thomas](https://defelement.com/elements/raviart-thomas.html)
- [Nédélec second kind](https://defelement.com/elements/nedelec2.html)
- [Brezzi-Douglas-Marini](https://defelement.com/elements/brezzi-douglas-marini.html)
- [Regge](https://defelement.com/elements/regge.html)
- [Hellan-Herrmann-Johnson](https://defelement.com/elements/hellan-hermann-johnson.html)
- [Crouzeix-Raviart](https://defelement.com/elements/crouzeix-raviart.html)
- [Bubble](https://defelement.com/elements/bubble.html)
- [Hermite](https://defelement.com/elements/hermite.html)
- [iso](https://defelement.com/elements/p1-iso-p2.html)
- [Lagrange](https://defelement.org/elements/lagrange.html)
- [Nédélec first kind](https://defelement.org/elements/nedelec1.html)
- [Raviart-Thomas](https://defelement.org/elements/raviart-thomas.html)
- [Nédélec second kind](https://defelement.org/elements/nedelec2.html)
- [Brezzi-Douglas-Marini](https://defelement.org/elements/brezzi-douglas-marini.html)
- [Regge](https://defelement.org/elements/regge.html)
- [Hellan-Herrmann-Johnson](https://defelement.org/elements/hellan-hermann-johnson.html)
- [Crouzeix-Raviart](https://defelement.org/elements/crouzeix-raviart.html)
- [Bubble](https://defelement.org/elements/bubble.html)
- [Hermite](https://defelement.org/elements/hermite.html)
- [iso](https://defelement.org/elements/p1-iso-p2.html)


### Quadrilateral
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The following elements are supported on a quadrilateral:

- [Lagrange](https://defelement.com/elements/lagrange.html)
- [Nédélec first kind](https://defelement.com/elements/nedelec1.html)
- [Raviart-Thomas](https://defelement.com/elements/qdiv.html)
- [Nédélec second kind](https://defelement.com/elements/scurl.html)
- [Brezzi-Douglas-Marini](https://defelement.com/elements/sdiv.html)
- [Bubble](https://defelement.com/elements/bubble.html)
- [DPC](https://defelement.com/elements/dpc.html)
- [Serendipity](https://defelement.com/elements/serendipity.html)
- [iso](https://defelement.com/elements/p1-iso-p2.html)
- [Lagrange](https://defelement.org/elements/lagrange.html)
- [Nédélec first kind](https://defelement.org/elements/nedelec1.html)
- [Raviart-Thomas](https://defelement.org/elements/qdiv.html)
- [Nédélec second kind](https://defelement.org/elements/scurl.html)
- [Brezzi-Douglas-Marini](https://defelement.org/elements/sdiv.html)
- [Bubble](https://defelement.org/elements/bubble.html)
- [DPC](https://defelement.org/elements/dpc.html)
- [Serendipity](https://defelement.org/elements/serendipity.html)
- [iso](https://defelement.org/elements/p1-iso-p2.html)


### Tetrahedron
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The following elements are supported on a tetrahedron:

- [Lagrange](https://defelement.com/elements/lagrange.html)
- [Nédélec first kind](https://defelement.com/elements/nedelec1.html)
- [Raviart-Thomas](https://defelement.com/elements/raviart-thomas.html)
- [Nédélec second kind](https://defelement.com/elements/nedelec2.html)
- [Brezzi-Douglas-Marini](https://defelement.com/elements/brezzi-douglas-marini.html)
- [Regge](https://defelement.com/elements/regge.html)
- [Crouzeix-Raviart](https://defelement.com/elements/crouzeix-raviart.html)
- [Bubble](https://defelement.com/elements/bubble.html)
- [Hermite](https://defelement.com/elements/hermite.html)
- [iso](https://defelement.com/elements/p1-iso-p2.html)
- [Lagrange](https://defelement.org/elements/lagrange.html)
- [Nédélec first kind](https://defelement.org/elements/nedelec1.html)
- [Raviart-Thomas](https://defelement.org/elements/raviart-thomas.html)
- [Nédélec second kind](https://defelement.org/elements/nedelec2.html)
- [Brezzi-Douglas-Marini](https://defelement.org/elements/brezzi-douglas-marini.html)
- [Regge](https://defelement.org/elements/regge.html)
- [Crouzeix-Raviart](https://defelement.org/elements/crouzeix-raviart.html)
- [Bubble](https://defelement.org/elements/bubble.html)
- [Hermite](https://defelement.org/elements/hermite.html)
- [iso](https://defelement.org/elements/p1-iso-p2.html)


### Hexahedron
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The following elements are supported on a hexahedron:

- [Lagrange](https://defelement.com/elements/lagrange.html)
- [Nédélec first kind](https://defelement.com/elements/nedelec1.html)
- [Raviart-Thomas](https://defelement.com/elements/qdiv.html)
- [Nédélec second kind](https://defelement.com/elements/scurl.html)
- [Brezzi-Douglas-Marini](https://defelement.com/elements/sdiv.html)
- [Bubble](https://defelement.com/elements/bubble.html)
- [DPC](https://defelement.com/elements/dpc.html)
- [Serendipity](https://defelement.com/elements/serendipity.html)
- [iso](https://defelement.com/elements/p1-iso-p2.html)
- [Lagrange](https://defelement.org/elements/lagrange.html)
- [Nédélec first kind](https://defelement.org/elements/nedelec1.html)
- [Raviart-Thomas](https://defelement.org/elements/qdiv.html)
- [Nédélec second kind](https://defelement.org/elements/scurl.html)
- [Brezzi-Douglas-Marini](https://defelement.org/elements/sdiv.html)
- [Bubble](https://defelement.org/elements/bubble.html)
- [DPC](https://defelement.org/elements/dpc.html)
- [Serendipity](https://defelement.org/elements/serendipity.html)
- [iso](https://defelement.org/elements/p1-iso-p2.html)


### Prism
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The following elements are supported on a prism:

- [Lagrange](https://defelement.com/elements/lagrange.html)
- [Lagrange](https://defelement.org/elements/lagrange.html)


### Pyramid
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The following elements are supported on a pyramid:

- [Lagrange](https://defelement.com/elements/lagrange.html)
- [Lagrange](https://defelement.org/elements/lagrange.html)
2 changes: 1 addition & 1 deletion demo/python/demo_custom_element.py
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#
# As a second example, we create a degree 1 Raviart--Thomas element on a triangle. Details of
# the definition of this element can be found at
# https://defelement.com/elements/raviart-thomas.html. This element
# https://defelement.org/elements/raviart-thomas.html. This element
# spans:
#
# .. math::
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2 changes: 1 addition & 1 deletion demo/python/demo_custom_element_conforming_cr.py
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# We begin by implementing this element on a triangle. The following function
# implements this element for an arbitrary degree. Details of the definition of
# this element can be found at
# https://defelement.com/elements/conforming-crouzeix-raviart.html.
# https://defelement.org/elements/conforming-crouzeix-raviart.html.
#
# As the input to this function, we use the degree of the element as shown on
# DefElement. For most degrees, the highest degree polynomial in this elements
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