
NUMERICAL METHODS FOR CONTINUOUS SYSTEMS
Examination methods:

Oral examination with discussion on the student project 
Course unit contents:

1. NavierStokes and de SaintVenant equations and their simplifications: Stokes problem; convectiondiffusion equation; linear elasticity;
2. FEM methods and stabilization (INFSUP/LBB condition);
3. Mixed formulations and saddle point problems;
4. Finite volumes and finite differences;
5. Extensions to systems of PDEs;
6. Connections between finite elements, finite volumes, finite differences and spectral methods;
7. Solution of realworld problems: mesh construction; boundary conditions; nonlinear and stiff problems;
8. Solution of associated linear and nonlinear algebraic systems;
9. Modern methods of projection into divergence free spaces;
10. Practical implementations. 

