# Documentation

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# pdetriq

Triangle quality measure

This page describes the legacy workflow. New features might not be compatible with the legacy workflow. For the corresponding step in the recommended workflow, see generateMesh.

q = pdetriq(p,t)

## Description

q = pdetriq(p,t) returns a triangle quality measure given mesh data.

The triangular mesh is given by the mesh data p, e, and t. For details on the mesh data representation, see initmesh.

The triangle quality is given by the formula

$q=\frac{4a\sqrt{3}}{{h}_{1}^{2}+{h}_{2}^{2}+{h}_{3}^{2}}$

where a is the area and h1, h2, and h3 the side lengths of the triangle.

If q > 0.6 the triangle is of acceptable quality. q = 1 when h1 = h2 = h3.

## References

Bank, Randolph E., PLTMG: A Software Package for Solving Elliptic Partial Differential Equations, User's Guide 6.0, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1990.