cashocs.geometry.quality.MaximumAngleCalculator

class cashocs.geometry.quality.MaximumAngleCalculator

Bases: MeshQualityCalculator

Implements the maximum angle quality measure.

Methods Summary

compute(mesh)

Computes the largest angle of each element.

Methods Documentation

compute(mesh: fenics.Mesh) → ndarray

Computes the largest angle of each element.

This measures the relative distance of a triangle’s angles or a tetrahedron’s dihedral angles to the corresponding optimal angle. The optimal angle is defined as the angle an equilateral (and thus equiangular) element has. This is defined as

\[1 - \max\left( \frac{\alpha - \alpha^*}{\pi - \alpha^*} , 0 \right),\]

where \(\alpha\) is the corresponding (dihedral) angle of the element and \(\alpha^*\) is the corresponding (dihedral) angle of the reference element.

Parameters:

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

Returns:

The maximum angle quality measure for each element on process 0.

Return type:

ndarray