Quality parameters to control algebraic surface grids

Abstract

In this paper we discuss a strategy to provide geometrical control of algebraic grid surfaces by means of a re-parametrization procedure combined with the use of quality parameters for grid surfaces. The re-parametrization phase is based on a tensor product transformation following given directions. The free parameters in the tensor product are set by solving an optimization problem that uses objective functions based on grid quality measure parameters.

Keywords

• algebraic grid generation
• tensor product
• surface algebraic mixed methods
• grid quality measures