Pre-assembly of FEM n-th order triangular elements

The paper presents a method of preparing data, which can be used to simplify the procedure of formulating local stiffness matrices in the finite element method (the part of preparing this data is hence referred to as the pre-assembly). For the presentation of the methodology non-curvilinear triangular elements have been chosen, where it has been taken into account that any order can be selected for the elements. The paper presents a mathematical basis of how the auxiliary data is prepared. The appropriate relations to the final FEM equations are also given.