One Mesh Smoothing Algorithm Combining Laplacian and Local Optimization-Based Mesh Smoothing Techniques

A new objective function is defined for two and three dimensions. In numerical simulation, if the mesh quality cannot be improved by constrained Laplacian smoothing, local optimization-based smoothing algorithm is used. Thus none mesh gets worse while optimization-based smoothing applied only to limited number of meshes and efficiency of optimization is highly improved. Numerical result indicated that however applied in mixed grids the new objective function is effective.