Automatic generation of triangular finite element meshes

AbstractA method for automatic generation of triangular finite element meshes for starshaped domains is introduced. The mesh is simply obtained by inputting, besides the data defining the boundary of the domain, a positive integer parameter p for specification of the wished degree of refinement.It is proved that, for a very wide class of starshaped two dimensional domains, the following necessary condition for convergence of the finite element method is satisfied:There exists a strictly positive constant c, independent of p, such that: MINTπ(T)m(T)⪢c ∀p, p=1,2,… π(T) and h(T) being respectively the diameter of the inscribed circle and the largest edge of a generated triangle T