Generation of matrices of an arbitrary finite element by its digital nomenclature code dncm

A new classification of finite elements is proposed, called the digital nomenclature code dncm. The topological and kinematic structure of an arbitrary finite element is represented by a multi-digit code that reflects the topological structure of the element. The code of an element is based on dimension d, the number of nodes n, the number of scalar coordinates per node c, and a multiplier m. The introduced classification procedure enables description of previously undefined finite elements. The code allows for a systematic enumeration of finite elements. A universal procedure is proposed to construct the geometrical and structural matrices of a finite element by its code dncm.