Mesh optimization techniques are a way to locally modify the mesh in order to improve it with respect to a given quality criterion. To this end, this work presents the generalization of two mesh quality-based optimization operators to $P^2$ meshes. The generalized operators consist in mesh smoothing and generalized swapping. With the use of these operators, $P^2$ mesh generation starting from a $P^1$ mesh is more robust and $P^2$ connectivity-change moving mesh methods for large displacements are now possible.

中文翻译：

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优化 $P^2$ 网格和应用

网格优化技术是一种局部修改网格以相对于给定质量标准进行改进的方法。为此，这项工作提出了两个基于网格质量的优化算子的推广。$P^2$网格。广义算子包括网格平滑和广义交换。通过使用这些运算符，$P^2$ 网格生成从 $P^{\mathrm{1个}}$ 网格更健壮和 $P^2$ 大位移的连通性变化移动网格方法现在成为可能。