Numerical Modeling Of Differential Problems – Politecnico di Milano

Argomenti del programma: 1) Short introduction to functional analysis: linear spaces, Hilbert spaces, Sobolev spaces. Concept of internal product and norms. Fundamental inequalities. 2) Elliptic problem: Laplace equation, convection-diffusion equations.Weak formulation, Galerkin and finite element discretization and the resulting algebraic system. General results of consistency, stability and convergence of the method.