Some Properties of Area Functionals in Numerical Grid Generation.
José Gerardo Tinoco-Ruiz, Pablo Barrera Sánchez, Adán Cortés-Medina · 2001
In this paper we present some general properties concerning area functionals, both continuous and discrete, used in the variational approach of numerical grid generation. In particular we introduce a new proof of a theorem concerning the classical area functional which has served us as a guide in the design of new area functionals yielding better performance than the currently used. In particular these new functionals produce grids with a better control in the areas of the cells.