On strongly regular families of piecewise quasi-uniform triangulations of certain curved plane domains

We construct a strongly regular family of triangulations into straight and curved triangles of a bounded plane domain, the boundary of which consists of a finite number of straight line segments and parabolic area. This const ruction is based on transformations by which the standard isoparametric qua dratic element is defined. Further we prove that the proposed triangulation s are piecewise quasi-uniform, which produces various superconvergence phen omena when the finite element method is applied. (C) 1999 IMACS/Elsevier Sc ience B.V. All rights reserved.