# New quality measures for quadrilaterals and new discrete functionals for grid generation

@article{Flores2022NewQM, title={New quality measures for quadrilaterals and new discrete functionals for grid generation}, author={Guilmer F. Gonz{\'a}lez Flores and Pablo Barrera Sanchez}, journal={ArXiv}, year={2022}, volume={abs/2205.10634} }

Summary In this paper, we review some grid quality metrics 1,2,3,4,5 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 6 . 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…

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