| Name | fenics-basix JSON |
| Version |
0.9.0
JSON |
| download |
| home_page | https://fenicsproject.org |
| Summary | Basix Python interface |
| upload_time | 2024-10-10 16:24:20 |
| maintainer | None |
| docs_url | None |
| author | FEniCS Steering Council |
| requires_python | >=3.9 |
| license | MIT License Copyright (c) 2020 FEniCS Project Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. |
| keywords |
|
| VCS |
 |
| bugtrack_url |
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| requirements |
No requirements were recorded.
|
| Travis-CI |
No Travis.
|
| coveralls test coverage |
No coveralls.
|
# Basix
[](https://github.com/FEniCS/basix/actions/workflows/pythonapp.yml)
[](https://github.com/FEniCS/basix/actions/workflows/spack.yml)
Basix is a finite element definition and tabulation runtime library.
Basix allows users to:
- evaluate finite element basis functions and their derivatives at a set
of points;
- access geometric and topological information about reference cells;
- apply push forward and pull back operations to map data between a
reference cell and a physical cell;
- permute and transform DOFs to allow higher-order elements to be use on
arbitrary meshes; and
- interpolate into and between finite element spaces.
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](https://github.com/fenics/ufl),
[FFCx](https://github.com/fenics/ffcx), and
[DOLFINx](https://github.com/fenics/dolfinx).
## Installation
To install Basix:
```console
pip install fenics-basix
```
We currently build binary wheels for Linux and macOS x86-64 architectures.
For advanced and developer installation instructions see the more
detailed [install instructions](INSTALL.md)
## Documentation
Documentation of Basix can be found at
https://docs.fenicsproject.org/basix/main/.
## Support
If you find a bug in Basix, you can report it on the [GitHub issue
tracker](https://github.com/fenics/basix/issues/new?labels=bug).
Questions about using Basix can be asked on the [FEniCS discourse
group](https://fenicsproject.discourse.group/).
## Contributing
Information about how to contribute to Basix can be found
[here](CONTRIBUTING.md).
## Supported elements
### Interval
In Basix, the sub-entities of the reference interval are numbered as
follows:
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)
### Triangle
In Basix, the sub-entities of the reference triangle are numbered as
follows:
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)
### Quadrilateral
In Basix, the sub-entities of the reference quadrilateral are numbered
as follows:
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)
### Tetrahedron
In Basix, the sub-entities of the reference tetrahedron are numbered as
follows:
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)
### Hexahedron
In Basix, the sub-entities of the reference hexahedron are numbered as
follows:
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)
### Prism
In Basix, the sub-entities of the reference prism are numbered as
follows:
The following elements are supported on a prism:
- [Lagrange](https://defelement.com/elements/lagrange.html)
### Pyramid
In Basix, the sub-entities of the reference pyramid are numbered as
follows:
The following elements are supported on a pyramid:
- [Lagrange](https://defelement.com/elements/lagrange.html)
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"description": "# Basix\n\n[](https://github.com/FEniCS/basix/actions/workflows/pythonapp.yml)\n[](https://github.com/FEniCS/basix/actions/workflows/spack.yml)\n\nBasix is a finite element definition and tabulation runtime library.\nBasix allows users to:\n\n- evaluate finite element basis functions and their derivatives at a set\n of points;\n- access geometric and topological information about reference cells;\n- apply push forward and pull back operations to map data between a\n reference cell and a physical cell;\n- permute and transform DOFs to allow higher-order elements to be use on\n arbitrary meshes; and\n- interpolate into and between finite element spaces.\n\nBasix includes a range of built-in elements, and also allows the user to\ndefine their own custom elements.\n\nBasix is one of the components of FEniCSx, alongside\n[UFL](https://github.com/fenics/ufl),\n[FFCx](https://github.com/fenics/ffcx), and\n[DOLFINx](https://github.com/fenics/dolfinx).\n\n\n## Installation\n\nTo install Basix:\n```console\npip install fenics-basix\n```\nWe currently build binary wheels for Linux and macOS x86-64 architectures.\n\nFor advanced and developer installation instructions see the more\ndetailed [install instructions](INSTALL.md)\n\n\n## Documentation\n\nDocumentation of Basix can be found at\nhttps://docs.fenicsproject.org/basix/main/.\n\n\n## Support\n\nIf you find a bug in Basix, you can report it on the [GitHub issue\ntracker](https://github.com/fenics/basix/issues/new?labels=bug).\n\nQuestions about using Basix can be asked on the [FEniCS discourse\ngroup](https://fenicsproject.discourse.group/).\n\n\n## Contributing\n\nInformation about how to contribute to Basix can be found\n[here](CONTRIBUTING.md).\n\n## Supported elements\n\n### Interval\n\nIn Basix, the sub-entities of the reference interval are numbered as\nfollows:\n\n\n\nThe following elements are supported on an interval:\n\n - 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[Crouzeix-Raviart](https://defelement.com/elements/crouzeix-raviart.html)\n - [Bubble](https://defelement.com/elements/bubble.html)\n - [Hermite](https://defelement.com/elements/hermite.html)\n - [iso](https://defelement.com/elements/p1-iso-p2.html)\n\n\n### Quadrilateral\n\nIn Basix, the sub-entities of the reference quadrilateral are numbered\nas follows:\n\n\n\nThe following elements are supported on a quadrilateral:\n\n - [Lagrange](https://defelement.com/elements/lagrange.html)\n - [N\u00e9d\u00e9lec first kind](https://defelement.com/elements/nedelec1.html)\n - [Raviart-Thomas](https://defelement.com/elements/qdiv.html)\n - [N\u00e9d\u00e9lec second kind](https://defelement.com/elements/scurl.html)\n - [Brezzi-Douglas-Marini](https://defelement.com/elements/sdiv.html)\n - [Bubble](https://defelement.com/elements/bubble.html)\n - [DPC](https://defelement.com/elements/dpc.html)\n - [Serendipity](https://defelement.com/elements/serendipity.html)\n - [iso](https://defelement.com/elements/p1-iso-p2.html)\n\n\n### Tetrahedron\n\nIn Basix, the sub-entities of the reference tetrahedron are numbered as\nfollows:\n\n\n\nThe following elements are supported on a tetrahedron:\n\n - [Lagrange](https://defelement.com/elements/lagrange.html)\n - [N\u00e9d\u00e9lec first kind](https://defelement.com/elements/nedelec1.html)\n - [Raviart-Thomas](https://defelement.com/elements/raviart-thomas.html)\n - [N\u00e9d\u00e9lec second kind](https://defelement.com/elements/nedelec2.html)\n - [Brezzi-Douglas-Marini](https://defelement.com/elements/brezzi-douglas-marini.html)\n - [Regge](https://defelement.com/elements/regge.html)\n - [Crouzeix-Raviart](https://defelement.com/elements/crouzeix-raviart.html)\n - [Bubble](https://defelement.com/elements/bubble.html)\n - [Hermite](https://defelement.com/elements/hermite.html)\n - [iso](https://defelement.com/elements/p1-iso-p2.html)\n\n\n### Hexahedron\n\nIn Basix, the sub-entities of the reference hexahedron are numbered as\nfollows:\n\n\n\nThe following elements are supported on a hexahedron:\n\n - [Lagrange](https://defelement.com/elements/lagrange.html)\n - [N\u00e9d\u00e9lec first kind](https://defelement.com/elements/nedelec1.html)\n - [Raviart-Thomas](https://defelement.com/elements/qdiv.html)\n - [N\u00e9d\u00e9lec second kind](https://defelement.com/elements/scurl.html)\n - [Brezzi-Douglas-Marini](https://defelement.com/elements/sdiv.html)\n - [Bubble](https://defelement.com/elements/bubble.html)\n - [DPC](https://defelement.com/elements/dpc.html)\n - [Serendipity](https://defelement.com/elements/serendipity.html)\n - [iso](https://defelement.com/elements/p1-iso-p2.html)\n\n\n### Prism\n\nIn Basix, the sub-entities of the reference prism are numbered as\nfollows:\n\n\n\nThe following elements are supported on a prism:\n\n - [Lagrange](https://defelement.com/elements/lagrange.html)\n\n\n### Pyramid\n\nIn Basix, the sub-entities of the reference pyramid are numbered as\nfollows:\n\n\n\nThe following elements are supported on a pyramid:\n\n - [Lagrange](https://defelement.com/elements/lagrange.html)\n",
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