Research Article

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

Table 1

Worst element quality after convergence for three Hessian modification methods on surface meshes (Figure 6). A smaller value indicates a better mesh quality.

Mesh (number of elements) HM 1 HM 2 HM 3

Pig (surface, 3K) 10.46 9.85 4.35
Cow (surface, 3K) 8.74 15.22 13.28
Igea (surface, 40K) 7.46 7.19 4.20
Slope (surface, 3K) 1.70 1.70 1.70