NUMERICAL METHODS FOR CONTINUOUS SYSTEMS

Second cycle degree in MATHEMATICAL ENGINEERING (Ord. 2017)

Campus: PADOVA

Language: English

Teaching period: Second Semester

Lecturer: MARIO PUTTI

Number of ECTS credits allocated: 6


Syllabus
Examination methods: Oral examination with discussion on the student project
Course unit contents: 1. Navier-Stokes and de Saint-Venant equations and their simplifications: Stokes problem; convection-diffusion equation; linear elasticity;
2. FEM methods and stabilization (INF-SUP/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 real-world 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.