论文标题
四边形的新质量措施和网格生成的新离散功能
New quality measures for quadrilaterals and new discrete functionals for grid generation
论文作者
论文摘要
在本文中，我们回顾了一些网格质量指标Robinson1987，Lo1989，Field2000，Knupp2001，emmacle2012，并为四边形元素定义了一些新的质量指标。通常，质量度量的最大值对应于网格Ivanenko2000上能量密度的最小值。 我们还定义了新的离散功能，这些功能在基于优化的四边形网格生成和改进的方法中作为目标函数实现。这些功能与离散函数线性结合，其域在一组展开的网格的边界上具有无限屏障，例如$ s_ {ω，ε}（g）$，请参见Barrera2010，以保留优化过程的每个步骤中的凸网格单元。
In this paper, we review some grid quality metrics Robinson1987, Lo1989, Field2000, Knupp2001, Remacle2012 and define some new quality measures for quadrilateral elements. Usually, a maximum value of a quality measure corresponds to the minimum value of the energy density over the grid Ivanenko2000. We also define new discrete functionals which are implemented as objective functions in an optimization-based method for quadrilateral grid generation and improvement. These functionals are linearly combined with a discrete functional whose domain has an infinite barrier at the boundary of the set of unfolded grids like $S_{ω,ε}(G)$, see Barrera2010, in order to preserve convex grid cells in each step of the optimization process.
