Three-dimensional Hexahedral Finite Elements — Lesson 4

Hexahedral elements will be constructed by mapping from a parent domain. The Lagrange polynomial basis functions in 3D will be defined. These functions will be used to construct a finite-dimensional trial solution as well as a finite-dimensional weighting function. The same basis functions will be used to interpolate the geometry. The isoparametric formulation will be used to interpolate the finite-dimensional weighting function as well as the geometry.