P2

Long Chen and Michael Holst. Mesh adaptation based on Optimal Delaunay Triangulations.

ABSTRACT: In this paper, a mesh adaptation scheme based on the concept of optimal Delaunay triangulations (ODTs) is developed. The mesh adaptation is obtained by minimizing the interpolation error in the weighted $L^1$ norm. A discrete Laplacian is used as a good preconditioner in the Newton's method to speed up the traditional local smoothing approach.