Research Article

An Efficient Approach for Solving Mesh Optimization Problems Using Newton’s Method

Table 5

Worst element quality computed by the condition number metric for surface meshes. A smaller value indicates a better mesh quality.

Mesh (number of elements) Initial Optimized (Newton) Optimized (NLCG) Optimized (steepest descent)

Pig (surface, 3K) 45.07 4.35 11.34 11.34
Cow (surface 3K) 18.26 12.68 15.26 16.22
Igea (surface, 40K) 19.08 3.68 3.91 3.76
Slope (surface, 3K) 48.30 1.75 2.06 1.88