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Basix

Basix CISpack installDefElement verification

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 used 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, FFCx, and DOLFINx.

Installation

To install Basix from PyPi:

pip install fenics-basix

For advanced and developer installation instructions see the more detailed install instructions

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.

Questions about using Basix can be asked on the FEniCS discourse group.

Contributing

Information about how to contribute to Basix can be found here.

Supported elements

Interval

In Basix, the sub-entities of the reference interval are numbered as follows:

The numbering of a reference interval

The following elements are supported on an interval:

Triangle

In Basix, the sub-entities of the reference triangle are numbered as follows:

The numbering of a reference triangle

The following elements are supported on a triangle:

Quadrilateral

In Basix, the sub-entities of the reference quadrilateral are numbered as follows:

The numbering of a reference quadrilateral

The following elements are supported on a quadrilateral:

Tetrahedron

In Basix, the sub-entities of the reference tetrahedron are numbered as follows:

The numbering of a reference tetrahedron

The following elements are supported on a tetrahedron:

Hexahedron

In Basix, the sub-entities of the reference hexahedron are numbered as follows:

The numbering of a reference hexahedron

The following elements are supported on a hexahedron:

Prism

In Basix, the sub-entities of the reference prism are numbered as follows:

The numbering of a reference prism

The following elements are supported on a prism:

Pyramid

In Basix, the sub-entities of the reference pyramid are numbered as follows:

The numbering of a reference pyramid

The following elements are supported on a pyramid:

About

FEniCSx finite element basis evaluation library

fenicsproject.org

Topics

basis-functionsfenicsxfinite-elementshigh-order

Resources

Readme
MIT license

Code of conduct

Code of conduct

Contributing

Contributing
Activity
Custom properties

Stars

144 stars

Watchers

13 watching

Forks

48 forks
Report repository

Releases

Sponsor this project

Packages

Contributors

Languages

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Add copy buttons to all 
 blocks\n(function() {\n function addCopyButtons() {\n document.querySelectorAll('pre code').forEach(function(codeBlock) {\n if (codeBlock.parentElement.hasAttribute('data-copy-added')) return;\n codeBlock.parentElement.setAttribute('data-copy-added', 'true');\n \n var btn = document.createElement('button');\n btn.textContent = 'Copy';\n btn.style.cssText = 'position:absolute;top:4px;right:4px;padding:2px 8px;font-size:11px;background:#4ecdc4;border:none;border-radius:4px;color:#1a1a2e;cursor:pointer;opacity:0.7;transition:opacity 0.2s;';\n btn.onmouseover = function() { this.style.opacity = '1'; };\n btn.onmouseout = function() { this.style.opacity = '0.7'; };\n btn.onclick = function() {\n navigator.clipboard.writeText(codeBlock.textContent).then(function() {\n btn.textContent = 'Copied!';\n setTimeout(function() { btn.textContent = 'Copy'; }, 1500);\n });\n };\n codeBlock.parentElement.style.position = 'relative';\n codeBlock.parentElement.appendChild(btn);\n });\n }\n \n addCopyButtons();\n \n // Re-run on dynamic content\n var observer = new MutationObserver(addCopyButtons);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Add Copy Buttons to Code Blocks");
}
} catch(__e) { console.warn('[Userscript:Add Copy Buttons to Code Blocks]', __e); }
})();
(function(){
try {
var __m = "github.com";
var __re = new RegExp('^' + "github\\.com" + '

Skip to content
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Repository files navigation
Basix
Basix CISpack installDefElement verification
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 used 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,
FFCx, and
DOLFINx.
Installation
To install Basix from PyPi:
pip install fenics-basix
For advanced and developer installation instructions see the more
detailed install instructions
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.
Questions about using Basix can be asked on the FEniCS discourse
group.
Contributing
Information about how to contribute to Basix can be found
here.
Supported elements
Interval
In Basix, the sub-entities of the reference interval are numbered as
follows:
The numbering of a reference interval
The following elements are supported on an interval:
Triangle
In Basix, the sub-entities of the reference triangle are numbered as
follows:
The numbering of a reference triangle
The following elements are supported on a triangle:
Quadrilateral
In Basix, the sub-entities of the reference quadrilateral are numbered
as follows:
The numbering of a reference quadrilateral
The following elements are supported on a quadrilateral:
Tetrahedron
In Basix, the sub-entities of the reference tetrahedron are numbered as
follows:
The numbering of a reference tetrahedron
The following elements are supported on a tetrahedron:
Hexahedron
In Basix, the sub-entities of the reference hexahedron are numbered as
follows:
The numbering of a reference hexahedron
The following elements are supported on a hexahedron:
Prism
In Basix, the sub-entities of the reference prism are numbered as
follows:
The numbering of a reference prism
The following elements are supported on a prism:
Pyramid
In Basix, the sub-entities of the reference pyramid are numbered as
follows:
The numbering of a reference pyramid
The following elements are supported on a pyramid:
About
FEniCSx finite element basis evaluation library
fenicsproject.org
Topics
basis-functionsfenicsxfinite-elementshigh-order
Resources
Readme
MIT license
Code of conduct
Code of conduct
Contributing
Contributing
Activity
Custom properties
Stars
144 stars
Watchers
13 watching
Forks
48 forks
Report repository
Releases
Sponsor this project
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Force GitHub README to respect dark mode\n(function() {\n var style = document.createElement('style');\n style.textContent = '\n .markdown-body {\n color-scheme: dark light;\n }\n .markdown-body pre { background: #161b22 !important; }\n .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }\n .markdown-body table th, .markdown-body table td { border-color: #30363d !important; }\n .markdown-body img { background: #0d1117; }\n .markdown-body blockquote { border-left-color: #8b949e; }\n .markdown-body hr { border-color: #30363d; }\n ';\n document.head.appendChild(style);\n})();", "GitHub Dark Mode README Fix");
}
} catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
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Basix
Basix CISpack installDefElement verification
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 used 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,
FFCx, and
DOLFINx.
Installation
To install Basix from PyPi:
pip install fenics-basix
For advanced and developer installation instructions see the more
detailed install instructions
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.
Questions about using Basix can be asked on the FEniCS discourse
group.
Contributing
Information about how to contribute to Basix can be found
here.
Supported elements
Interval
In Basix, the sub-entities of the reference interval are numbered as
follows:
The numbering of a reference interval
The following elements are supported on an interval:
Triangle
In Basix, the sub-entities of the reference triangle are numbered as
follows:
The numbering of a reference triangle
The following elements are supported on a triangle:
Quadrilateral
In Basix, the sub-entities of the reference quadrilateral are numbered
as follows:
The numbering of a reference quadrilateral
The following elements are supported on a quadrilateral:
Tetrahedron
In Basix, the sub-entities of the reference tetrahedron are numbered as
follows:
The numbering of a reference tetrahedron
The following elements are supported on a tetrahedron:
Hexahedron
In Basix, the sub-entities of the reference hexahedron are numbered as
follows:
The numbering of a reference hexahedron
The following elements are supported on a hexahedron:
Prism
In Basix, the sub-entities of the reference prism are numbered as
follows:
The numbering of a reference prism
The following elements are supported on a prism:
Pyramid
In Basix, the sub-entities of the reference pyramid are numbered as
follows:
The numbering of a reference pyramid
The following elements are supported on a pyramid:
About
FEniCSx finite element basis evaluation library
fenicsproject.org
Topics
basis-functionsfenicsxfinite-elementshigh-order
Resources
Readme
MIT license
Code of conduct
Code of conduct
Contributing
Contributing
Activity
Custom properties
Stars
144 stars
Watchers
13 watching
Forks
48 forks
Report repository
Releases
Sponsor this project
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Highlight search terms from Google/DuckDuckGo/Bing referrer\n(function() {\n var ref = document.referrer;\n var terms = [];\n \n if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {\n var url = new URL(ref);\n var q = url.searchParams.get('q') || url.searchParams.get('p');\n if (q) {\n terms = q.split(/\\s+/).filter(function(t) { return t.length > 2; });\n }\n }\n \n if (terms.length === 0) return;\n \n var style = document.createElement('style');\n style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';\n document.head.appendChild(style);\n \n function highlight(node) {\n if (node.nodeType === 3) { // text node\n var text = node.textContent;\n var found = false;\n terms.forEach(function(term) {\n var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\\]\\\\]/g, '\\\\') + ')', 'gi');\n if (regex.test(text)) {\n found = true;\n var frag = document.createDocumentFragment();\n var parts = text.split(regex);\n parts.forEach(function(part, i) {\n if (i % 2 === 0) {\n frag.appendChild(document.createTextNode(part));\n } else {\n var span = document.createElement('span');\n span.className = 'userscript-highlight';\n span.textContent = part;\n frag.appendChild(span);\n }\n });\n node.parentNode.replaceChild(frag, node);\n }\n });\n } else if (node.nodeType === 1 && node.childNodes) { // element\n var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];\n if (!skipTags.includes(node.tagName)) {\n Array.from(node.childNodes).forEach(highlight);\n }\n }\n }\n \n highlight(document.body);\n \n // Re-highlight on dynamic content\n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1 || node.nodeType === 3) highlight(node);\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Highlight Search Terms");
}
} catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
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Basix
Basix CISpack installDefElement verification
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 used 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,
FFCx, and
DOLFINx.
Installation
To install Basix from PyPi:
pip install fenics-basix
For advanced and developer installation instructions see the more
detailed install instructions
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.
Questions about using Basix can be asked on the FEniCS discourse
group.
Contributing
Information about how to contribute to Basix can be found
here.
Supported elements
Interval
In Basix, the sub-entities of the reference interval are numbered as
follows:
The numbering of a reference interval
The following elements are supported on an interval:
Triangle
In Basix, the sub-entities of the reference triangle are numbered as
follows:
The numbering of a reference triangle
The following elements are supported on a triangle:
Quadrilateral
In Basix, the sub-entities of the reference quadrilateral are numbered
as follows:
The numbering of a reference quadrilateral
The following elements are supported on a quadrilateral:
Tetrahedron
In Basix, the sub-entities of the reference tetrahedron are numbered as
follows:
The numbering of a reference tetrahedron
The following elements are supported on a tetrahedron:
Hexahedron
In Basix, the sub-entities of the reference hexahedron are numbered as
follows:
The numbering of a reference hexahedron
The following elements are supported on a hexahedron:
Prism
In Basix, the sub-entities of the reference prism are numbered as
follows:
The numbering of a reference prism
The following elements are supported on a prism:
Pyramid
In Basix, the sub-entities of the reference pyramid are numbered as
follows:
The numbering of a reference pyramid
The following elements are supported on a pyramid:
About
FEniCSx finite element basis evaluation library
fenicsproject.org
Topics
basis-functionsfenicsxfinite-elementshigh-order
Resources
Readme
MIT license
Code of conduct
Code of conduct
Contributing
Contributing
Activity
Custom properties
Stars
144 stars
Watchers
13 watching
Forks
48 forks
Report repository
Releases
Sponsor this project
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Strip utm_, fbclid, gclid, etc. from all links on page\n(function() {\n var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',\n 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',\n 'ref', 'ref_src', 'source', 'medium', 'campaign'];\n \n function cleanUrl(url) {\n try {\n var u = new URL(url, window.location.origin);\n var changed = false;\n trackingParams.forEach(function(p) {\n if (u.searchParams.has(p)) {\n u.searchParams.delete(p);\n changed = true;\n }\n });\n return changed ? u.toString() : url;\n } catch (e) {\n return url;\n }\n }\n \n function cleanLinks() {\n document.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n \n cleanLinks();\n \n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1) {\n if (node.tagName === 'A') cleanLinks();\n node.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Remove Tracking Parameters from Links");
}
} catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); }
})();
(function(){
try {
var __m = "youtube.com";
var __re = new RegExp('^' + "youtube\\.com" + '

Skip to content
BranchesTags
Repository files navigation
Basix
Basix CISpack installDefElement verification
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 used 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,
FFCx, and
DOLFINx.
Installation
To install Basix from PyPi:
pip install fenics-basix
For advanced and developer installation instructions see the more
detailed install instructions
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.
Questions about using Basix can be asked on the FEniCS discourse
group.
Contributing
Information about how to contribute to Basix can be found
here.
Supported elements
Interval
In Basix, the sub-entities of the reference interval are numbered as
follows:
The numbering of a reference interval
The following elements are supported on an interval:
Triangle
In Basix, the sub-entities of the reference triangle are numbered as
follows:
The numbering of a reference triangle
The following elements are supported on a triangle:
Quadrilateral
In Basix, the sub-entities of the reference quadrilateral are numbered
as follows:
The numbering of a reference quadrilateral
The following elements are supported on a quadrilateral:
Tetrahedron
In Basix, the sub-entities of the reference tetrahedron are numbered as
follows:
The numbering of a reference tetrahedron
The following elements are supported on a tetrahedron:
Hexahedron
In Basix, the sub-entities of the reference hexahedron are numbered as
follows:
The numbering of a reference hexahedron
The following elements are supported on a hexahedron:
Prism
In Basix, the sub-entities of the reference prism are numbered as
follows:
The numbering of a reference prism
The following elements are supported on a prism:
Pyramid
In Basix, the sub-entities of the reference pyramid are numbered as
follows:
The numbering of a reference pyramid
The following elements are supported on a pyramid:
About
FEniCSx finite element basis evaluation library
fenicsproject.org
Topics
basis-functionsfenicsxfinite-elementshigh-order
Resources
Readme
MIT license
Code of conduct
Code of conduct
Contributing
Contributing
Activity
Custom properties
Stars
144 stars
Watchers
13 watching
Forks
48 forks
Report repository
Releases
Sponsor this project
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Auto-enable theater mode on YouTube\n(function() {\n function tryTheater() {\n var btn = document.querySelector('button[aria-label=\"Theater mode\"], ytd-player #player button[title=\"Theater mode\"]');\n if (btn && !btn.classList.contains('activated')) {\n btn.click();\n }\n }\n \n // Try immediately\n tryTheater();\n \n // Try after navigation (SPA)\n var lastUrl = location.href;\n setInterval(function() {\n if (location.href !== lastUrl) {\n lastUrl = location.href;\n setTimeout(tryTheater, 500);\n }\n }, 1000);\n \n // Also try on player load\n var observer = new MutationObserver(tryTheater);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "YouTube Theater Mode Default");
}
} catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
Basix
Basix CISpack installDefElement verification
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 used 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,
FFCx, and
DOLFINx.
Installation
To install Basix from PyPi:
pip install fenics-basix
For advanced and developer installation instructions see the more
detailed install instructions
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.
Questions about using Basix can be asked on the FEniCS discourse
group.
Contributing
Information about how to contribute to Basix can be found
here.
Supported elements
Interval
In Basix, the sub-entities of the reference interval are numbered as
follows:
The numbering of a reference interval
The following elements are supported on an interval:
Triangle
In Basix, the sub-entities of the reference triangle are numbered as
follows:
The numbering of a reference triangle
The following elements are supported on a triangle:
Quadrilateral
In Basix, the sub-entities of the reference quadrilateral are numbered
as follows:
The numbering of a reference quadrilateral
The following elements are supported on a quadrilateral:
Tetrahedron
In Basix, the sub-entities of the reference tetrahedron are numbered as
follows:
The numbering of a reference tetrahedron
The following elements are supported on a tetrahedron:
Hexahedron
In Basix, the sub-entities of the reference hexahedron are numbered as
follows:
The numbering of a reference hexahedron
The following elements are supported on a hexahedron:
Prism
In Basix, the sub-entities of the reference prism are numbered as
follows:
The numbering of a reference prism
The following elements are supported on a prism:
Pyramid
In Basix, the sub-entities of the reference pyramid are numbered as
follows:
The numbering of a reference pyramid
The following elements are supported on a pyramid:
About
FEniCSx finite element basis evaluation library
fenicsproject.org
Topics
basis-functionsfenicsxfinite-elementshigh-order
Resources
Readme
MIT license
Code of conduct
Code of conduct
Contributing
Contributing
Activity
Custom properties
Stars
144 stars
Watchers
13 watching
Forks
48 forks
Report repository
Releases
Sponsor this project
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Remove or un-stick sticky/fixed headers that block content\n(function() {\n function unstick() {\n document.querySelectorAll('header, nav, [role=\"banner\"], .header, .navbar, .sticky, .fixed-top, [style*=\"position: fixed\"], [style*=\"position:sticky\"]').forEach(function(el) {\n if (el.style.position === 'fixed' || el.style.position === 'sticky' || \n getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {\n el.style.position = 'static';\n el.style.top = 'auto';\n el.style.zIndex = 'auto';\n }\n });\n }\n \n unstick();\n \n var observer = new MutationObserver(unstick);\n observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });\n})();", "Kill Sticky Headers");
}
} catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
Basix
Basix CISpack installDefElement verification
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 used 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,
FFCx, and
DOLFINx.
Installation
To install Basix from PyPi:
pip install fenics-basix
For advanced and developer installation instructions see the more
detailed install instructions
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.
Questions about using Basix can be asked on the FEniCS discourse
group.
Contributing
Information about how to contribute to Basix can be found
here.
Supported elements
Interval
In Basix, the sub-entities of the reference interval are numbered as
follows:
The numbering of a reference interval
The following elements are supported on an interval:
Triangle
In Basix, the sub-entities of the reference triangle are numbered as
follows:
The numbering of a reference triangle
The following elements are supported on a triangle:
Quadrilateral
In Basix, the sub-entities of the reference quadrilateral are numbered
as follows:
The numbering of a reference quadrilateral
The following elements are supported on a quadrilateral:
Tetrahedron
In Basix, the sub-entities of the reference tetrahedron are numbered as
follows:
The numbering of a reference tetrahedron
The following elements are supported on a tetrahedron:
Hexahedron
In Basix, the sub-entities of the reference hexahedron are numbered as
follows:
The numbering of a reference hexahedron
The following elements are supported on a hexahedron:
Prism
In Basix, the sub-entities of the reference prism are numbered as
follows:
The numbering of a reference prism
The following elements are supported on a prism:
Pyramid
In Basix, the sub-entities of the reference pyramid are numbered as
follows:
The numbering of a reference pyramid
The following elements are supported on a pyramid:
About
FEniCSx finite element basis evaluation library
fenicsproject.org
Topics
basis-functionsfenicsxfinite-elementshigh-order
Resources
Readme
MIT license
Code of conduct
Code of conduct
Contributing
Contributing
Activity
Custom properties
Stars
144 stars
Watchers
13 watching
Forks
48 forks
Report repository
Releases
Sponsor this project
Packages
Contributors
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, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Universal Dark Mode - works on any site\n(function() {\n var enabled = true;\n \n function applyDarkMode() {\n if (!enabled) return;\n \n // Create style element if it doesn't exist\n var style = document.getElementById('universal-dark-mode-style');\n if (!style) {\n style = document.createElement('style');\n style.id = 'universal-dark-mode-style';\n document.head.appendChild(style);\n }\n \n // Dark mode CSS - inverts colors but preserves images/video\n style.textContent = '\n /* Invert everything except media */\n html {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #1a1a2e !important;\n }\n \n /* Restore images, videos, iframes, canvas */\n img, video, iframe, canvas, svg, picture, [style*=\"background-image\"] {\n filter: invert(1) hue-rotate(180deg) !important;\n }\n \n /* Preserve specific elements that should not be inverted */\n .no-dark-mode, .no-dark-mode *,\n [data-theme=\"light\"], [data-theme=\"light\"],\n .ace_editor, .ace_editor *,\n .CodeMirror, .CodeMirror *,\n .monaco-editor, .monaco-editor *,\n .markdown-body pre, .markdown-body pre *,\n .highlight, .highlight *,\n pre code, pre code * {\n filter: none !important;\n }\n \n /* Fix common UI elements */\n .modal, .popup, .dropdown-menu, .tooltip, .popover {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #2d2d44 !important;\n border-color: #444 !important;\n }\n \n /* Scrollbars */\n ::-webkit-scrollbar { background: #1a1a2e !important; }\n ::-webkit-scrollbar-thumb { background: #444 !important; }\n ::-webkit-scrollbar-thumb:hover { background: #555 !important; }\n \n /* Selection */\n ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ';\n }\n \n function removeDarkMode() {\n var style = document.getElementById('universal-dark-mode-style');\n if (style) style.remove();\n }\n \n // Toggle with Alt+Shift+D\n document.addEventListener('keydown', function(e) {\n if (e.altKey && e.shiftKey && e.key === 'D') {\n e.preventDefault();\n enabled = !enabled;\n if (enabled) {\n applyDarkMode();\n console.log('[Universal Dark Mode] Enabled');\n } else {\n removeDarkMode();\n console.log('[Universal Dark Mode] Disabled');\n }\n }\n });\n \n // Apply on load\n applyDarkMode();\n \n // Re-apply on dynamic content\n var observer = new MutationObserver(function(mutations) {\n if (enabled && !document.getElementById('universal-dark-mode-style')) {\n applyDarkMode();\n }\n });\n observer.observe(document.head, { childList: true });\n \n console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');\n})();", "Universal Dark Mode");
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})();
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Basix
Basix CISpack installDefElement verification
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 used 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,
FFCx, and
DOLFINx.
Installation
To install Basix from PyPi:
pip install fenics-basix
For advanced and developer installation instructions see the more
detailed install instructions
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.
Questions about using Basix can be asked on the FEniCS discourse
group.
Contributing
Information about how to contribute to Basix can be found
here.
Supported elements
Interval
In Basix, the sub-entities of the reference interval are numbered as
follows:
The numbering of a reference interval
The following elements are supported on an interval:
Triangle
In Basix, the sub-entities of the reference triangle are numbered as
follows:
The numbering of a reference triangle
The following elements are supported on a triangle:
Quadrilateral
In Basix, the sub-entities of the reference quadrilateral are numbered
as follows:
The numbering of a reference quadrilateral
The following elements are supported on a quadrilateral:
Tetrahedron
In Basix, the sub-entities of the reference tetrahedron are numbered as
follows:
The numbering of a reference tetrahedron
The following elements are supported on a tetrahedron:
Hexahedron
In Basix, the sub-entities of the reference hexahedron are numbered as
follows:
The numbering of a reference hexahedron
The following elements are supported on a hexahedron:
Prism
In Basix, the sub-entities of the reference prism are numbered as
follows:
The numbering of a reference prism
The following elements are supported on a prism:
Pyramid
In Basix, the sub-entities of the reference pyramid are numbered as
follows:
The numbering of a reference pyramid
The following elements are supported on a pyramid:
About
FEniCSx finite element basis evaluation library
fenicsproject.org
Topics
basis-functionsfenicsxfinite-elementshigh-order
Resources
Readme
MIT license
Code of conduct
Code of conduct
Contributing
Contributing
Activity
Custom properties
Stars
144 stars
Watchers
13 watching
Forks
48 forks
Report repository
Releases
Sponsor this project
Packages
Contributors
Languages