cashocs.geometry.quality.RadiusRatiosCalculator#

class cashocs.geometry.quality.RadiusRatiosCalculator[source]#

Bases: MeshQualityCalculator

Implements the radius ratios quality measure.

Methods Summary

compute(mesh)

Computes the radius ratios of the mesh elements.

Methods Documentation

compute(mesh: fenics.Mesh) → ndarray[source]#

Computes the radius ratios of the mesh elements.

This measures the ratio of the element’s inradius to its circumradius, normalized by the geometric dimension. This is computed via

\[d \frac{r}{R},\]

where \(d\) is the spatial dimension, \(r\) is the inradius, and \(R\) is the circumradius.

Parameters:

mesh (fenics.Mesh) – The mesh, whose quality shall be computed.

Returns:

The radius ratios of the mesh elements on process 0.

Return type:

ndarray