Support Matrix

This library aims to enable users to calculate the value of integrals over all Meshes.jl geometry types using an array of numerical integration rules and techniques. However, some combinations of geometry types and integration rules are ill-suited, and some others are simply not yet implemented. 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.

In general, Gauss-Kronrod integration rules are recommended (and the default) for geometries with one parametric dimension, e.g.: Segment, BezierCurve, and Rope. For geometries with more than one parametric dimension, e.g. surfaces and volumes, H-Adaptive Cubature rules are recommended (and the default).

While it is possible to apply nested Gauss-Kronrod rules to numerically integrate geometries with more than one parametric dimension, this produces results that are strictly inferior to using an equivalent H-Adaptive Cubature rule, so support for this usage is not recommended.