ABSTRACT
In the last three chapters we introduced analytical and semi-analytical methods for solving initial and boundary value problems involving heat conduction-convection processes. We show that the utilization of such methods, in spite of their rigor, they are limited to some relatively simple geometry and initial and boundary conditions. This limitation can be circumvented by the use of numerical methods, among which the finite element method represents one of the most versatile technique in this category. In this chapter we introduce some basic finite element procedures suitable for solving steady-state and transient heat conduction-convection problems. Focus is placed on the discretization of the finite element in space and time.
