Support Matrix

While this library aims to support all possible integration rules and Meshes.jl geometry types, some combinations are ill-suited and some others are simplu not yet implemented. The following Support Matrix aims to capture the current development state of all geometry/rule combinations. Entries with a green check mark are fully supported and have passing unit tests that provide some confidence they produce accurate results.

In general, Gauss-Kronrod integration rules are recommended (and the default) for geometries with one parametric dimension, e.g.: Segment, BezierCurve, and Rope. Gauss-Kronrod rules can also be applied to some geometries with more dimensions by nesting multiple integration solves, but this is inefficient. These Gauss-Kronrod rules are supported (but not recommended) for surface-like geometries, but not for volume-like geometries. For geometries with more than one parametric dimension, e.g. surfaces and volumes, H-Adaptive Cubature integration rules are recommended (and the default).