Isoparametric Formulation of Finite Element Method

This is the introductory chapter for the finite element method (FEM). The FEM is the dominant method for general computer modeling in engineering and science, as well as in bioengineering. The isoparametric formulation as the most general approach is presented. This formulation assumes that the same interpolation functions are used to interpolate domain geometry and the fields of physical quantities which are to be obtained by the FEM. After the introduction, the isoparametric formulation starting from a simple 1D finite element, and then proceed to more general, 3D, 2D, and shell finite element formulations, is presented.