ABSTRACT
We present a new approach for robust mesh adaptation. Optimizing a given quadrilateral mesh to the requirement of the problem is the topic of this paper. This research work deals with generating adaptive quadrilateral meshes using a discrete area functional. Optimization of this functional tries to equidistribute error/gradient/factors that cause error (analytically given or computed on the initial mesh) over each quadrilateral cell. This paper presents various examples of generating adaptive meshes.