Finite Element Method: Basics

This lecture covers the basics of the finite element method, starting with the strong formulation of the problem and moving on to the approximate weak formulation. It explains the approximation of real and virtual temperatures, the discretization in triangular and quadrangular finite elements, and the assembly of elementary contributions. The instructor demonstrates the association of shape functions to nodal temperatures, the Galerkin technique, and the index form of the discrete weak formulation.