Automated finite element grid break-up method--A verification of the six node averaging approach

The most popular method for the automatic break-up of regions into plane finite elements seems to be variations of the "sides-and-parts" method as discussed in references 1 through 4. in this method the structure is divided into four-sided parts with the sides divided into straight line segments connected at nodes. Figures 1, 2, and 3 show such parts in the form of a square which has a one-to-one topological correspondence to a general four-sided figure. If the number of nodes on pairs of opposite sides are equal, lines or curves drawn through corresponding side nodes will generate internal mesh points at their intersections, as shown in figure 1.