Applications of mesh adaptation techniques could be found. in the numerical
solution of PDE's or in the optimal triangulation of surfaces for shape re
presentation or graphic display. The scope of this work is to verify throug
h numerical experiments the effectiveness of some algorithms for the contro
l of the L-infinity error norm for piecewise linear approximation on 2D uns
tructured triangular meshes. The analysis could be extended to parametric s
urfaces and to the 3D case. (C) 2000 IMACS. Published by Elsevier Science B
.V. All rights reserved.