The Weighted Residual Finite Elements Applied to a 1D Heat Problem

The fast development of computers made numerical solutions of engineering problems very much achievable using many different numerical approaches. Finite element method is one of the numerical techniques capable of solving problems with complex geometries. In this paper an overview of the method is presented and applied to a chosen heat transfer problem comparing the numerical results to analytical solution for illustration purposes. As shown in the results the finite elements solution is in a very good agreement to the analytical solution for the chosen problem.