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

Table 3

Worst element quality computed by the condition number metric for volume meshes.

Mesh (number of elements)	Initial	Optimized (Newton)	Optimized (NLCG)	Optimized (steepest descent)
3D slope (volume, 3K)	1,026.80	2.17	2.36	2.36
2-material (volume 2K)	191.12	1.08	1.29	1.31
Cube (volume, 3K)	1,026.00	1.09	1.17	1.17