Lagrange Basis Functions in 1D Through 3D — Lesson 1

The lesson starts with a brief discussion on the use of Lagrange polynomials in basis functions, then a unified view of basis functions in 1D through 3D. Lagrange polynomials are used for this discussion. Tensor products basis functions in 2D are defined, and the formula for the tensor product is written.

We show the formula for the basis function in 3D. The formula is written in the bi-unit domain for trilinear and triquadratics. We show that writing these formulas is nothing but the use of tensor products.

Corrections to Boardwork