Theory of harmonic grid generation

Abstract

Harmonic grid generation methods for multiply connected plane regions and regions on curved surfaces are discussed These methods are analysed by unifying them to a general mapping problem on a Riemann surface. In particular, using this formulation it is proven that these mappings are globally one-to-one and on to.

AMS No.:

• 30
• 35
• 65

^‡Research was supported in part by NASA under Contract No. NASI-17071 while

^‡Research was supported in part by NASA under Contract No. NASI-17071 while

Notes

^‡Research was supported in part by NASA under Contract No. NASI-17071 while