Barrier method for quasi-isometric grid generation (Q1608275)

The author presents a grid generation method based on the minimization of a barrier functional with a feasible set consisting of quasi-isometric grids. The procedure for minimizing the deviation from isometry for a grid of given connectivity makes it possible to contract the feasible set into a small neighborhood of the optimal solution. A reliable and efficient technique for constructing a feasible solution is proposed, based on the penalty formulation and continuation technique.