Support Status

This library aims to enable users to calculate the value of integrals over all Meshes.jl geometry types using a number of numerical integration rules and techniques.

In general, GaussKronrod integration rules are recommended (and the default) for geometries with one parametric dimension. For geometries with more than one parametric dimension, e.g. surfaces and volumes, HAdaptiveCubature rules are recommended (and the default).

The Support Matrix

The following Support Matrix captures the current state of support for all geometry/rule combinations. Entries with a green check mark are fully supported and pass unit tests designed to check for accuracy.

`Meshes.Geometry/Domain`	`GaussKronrod`	`GaussLegendre`	`HAdaptiveCubature`
`Ball` in `𝔼{2}`	🛑	✅	✅
`Ball` in `𝔼{3}`	🛑	✅	✅
`BezierCurve`	✅	✅	✅
`Box` in `𝔼{1}`	✅	✅	✅
`Box` in `𝔼{2}`	🛑	✅	✅
`Box` in `𝔼{≥3}`	🛑	✅	✅
`CartesianGrid` in `𝔼{1}`	✅	✅	✅
`CartesianGrid` in `𝔼{≥2}`	🛑	✅	✅
`Circle`	✅	✅	✅
`Cone`	🛑	✅	✅
`ConeSurface`	🛑	✅	✅
`Cylinder`	🛑	✅	✅
`CylinderSurface`	🛑	✅	✅
`Disk`	🛑	✅	✅
`Ellipsoid`	🛑	✅	✅
`Frustum`	🛑	✅	✅
`FrustumSurface`	🛑	✅	✅
`Hexahedron`	🛑	✅	✅
`Line`	✅	✅	✅
`ParaboloidSurface`	🛑	✅	✅
`ParametrizedCurve`	✅	✅	✅
`Plane`	🛑	✅	✅
`PolyArea`	🛑	✅	✅
`Pyramid`	🛑	✅	✅
`Quadrangle`	🛑	✅	✅
`Ray`	✅	✅	✅
`RegularGrid` in `𝔼{1}`	✅	✅	✅
`RegularGrid` in `𝔼{≥2}`	🛑	✅	✅
`Ring`	✅	✅	✅
`Rope`	✅	✅	✅
`Segment`	✅	✅	✅
`SimpleMesh`	🛑	✅	✅
`Sphere`	🛑	✅	✅
`StructuredGrid` in `𝔼{1}`	✅	✅	✅
`StructuredGrid` in `𝔼{≥2}`	🛑	✅	✅
`Tetrahedron`	🛑	✅	✅
`Triangle`	🛑	✅	✅
`Torus`	🛑	✅	✅
`Wedge`	🛑	✅	✅

Symbol	Support Level
✅	Supported
🛑	Not supported