Sk. Godunov et al., VARIATIONAL PRINCIPLE FOR 2-D REGULAR QUASI-ISOMETRIC GRID GENERATION, International journal of computational fluid dynamics, 5(1-2), 1995, pp. 99-118
A variational principle for grid generation is described. A unique sol
ution of the variational problem is represented by a quasi-isometric m
apping of the unit square onto a physical domain. The variational prin
ciple is based on the theory of conformal mapping and the geometry of
the surface of constant curvature.