Some Properties of Area Functionals in Numerical Grid Generation

Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.43-54, October 7-10 2001

MESHING
RESEARCH
CORNER

10th International Meshing Roundtable
Newport Beach, California, U.S.A.
October 7-10, 2001

Jose-Gerardo Tinoco-Ruiz, Adan Cortes-Medina
Escuela de Fisico-Matematicas
Universidad Michoacana de San Nicolas de Hidalgo Morelia, Mich., Mexico 58060
Email: jtinoco@zeus.umich.mx

Pablo Barrera-Sanchez
Facultad de Ciencias
Universidad Nacional Autonoma de Mexico, Mexico, D.F.

Abstract
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.

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