Jacobian-weighted elliptic grid generation. (English) Zbl 0860.65114
The purpose of this paper is to apply variational grid generation techniques to derive and analyze a weighted elliptic generator that controls the Jacobian of the underlying transformation in a least square sense. Examples are given on the unit square to demonstrate point attraction, local refinement, directional alignment and adaption to a shock.
Reviewer: P.K.Mahanti (Ranchi)
MSC:
65N50 | Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs |